%% %% This is file `aomart.cls', %% generated with the docstrip utility. %% %% The original source files were: %% %% aomart.dtx (with options: `class') %% %% IMPORTANT NOTICE: %% %% For the copyright see the source file. %% %% Any modified versions of this file must be renamed %% with new filenames distinct from aomart.cls. %% %% For distribution of the original source see the terms %% for copying and modification in the file aomart.dtx. %% %% This generated file may be distributed as long as the %% original source files, as listed above, are part of the %% same distribution. (The sources need not necessarily be %% in the same archive or directory.) %% \CharacterTable %% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z %% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z %% Digits \0\1\2\3\4\5\6\7\8\9 %% Exclamation \! Double quote \" Hash (number) \# %% Dollar \$ Percent \% Ampersand \& %% Acute accent \' Left paren \( Right paren \) %% Asterisk \* Plus \+ Comma \, %% Minus \- Point \. Solidus \/ %% Colon \: Semicolon \; Less than \< %% Equals \= Greater than \> Question mark \? %% Commercial at \@ Left bracket \[ Backslash \\ %% Right bracket \] Circumflex \^ Underscore \_ %% Grave accent \` Left brace \{ Vertical bar \| %% Right brace \} Tilde \~} \NeedsTeXFormat{LaTeX2e} \ProvidesClass{aomart} [2022/04/30 v1.27 Typesetting articles for the Annals of Mathematics] \long\def\aom@size@warning#1{% \ClassWarning{aomart}{Size-changing option #1 will not be honored}}% \DeclareOption{8pt}{\aom@size@warning{\CurrentOption}}% \DeclareOption{9pt}{\aom@size@warning{\CurrentOption}}% \DeclareOption{10pt}{\aom@size@warning{\CurrentOption}}% \DeclareOption{11pt}{\aom@size@warning{\CurrentOption}}% \DeclareOption{12pt}{\aom@size@warning{\CurrentOption}}% \newif\if@aom@manuscript@mode \@aom@manuscript@modefalse \DeclareOption{manuscript}{\@aom@manuscript@modetrue} \newif\if@aom@screen@mode \@aom@screen@modefalse \DeclareOption{screen}{\@aom@screen@modetrue} \newif\if@aom@olddoi \@aom@olddoifalse \DeclareOption{olddoi}{\@aom@olddoitrue} \newif\if@aom@doiMMXVI \@aom@doiMMXVIfalse \DeclareOption{doi2016}{\@aom@doiMMXVItrue} \newif\if@aom@oldkeywords \@aom@oldkeywordsfalse \DeclareOption{oldkeywords}{\@aom@oldkeywordstrue} \newif\if@aom@printscheme \@aom@printschemefalse \DeclareOption{printscheme}{\@aom@printschemetrue} \DeclareOption*{\PassOptionsToClass{\CurrentOption}{amsart}} \InputIfFileExists{aomart.cfg}{% \ClassInfo{aomart}{% Loading configuration file aomart.cfg}}{% \ClassInfo{aomart}{% Configuration file aomart.cfg is not found}} \ProcessOptions\relax \LoadClass[11pt]{amsart} \RequirePackage{fancyhdr, lastpage, ifpdf} \RequirePackage[breaklinks,colorlinks]{hyperref} \if@aom@screen@mode \hypersetup{linkcolor=blue,citecolor=blue, urlcolor=blue}% \else\if@aom@manuscript@mode \hypersetup{linkcolor=blue,citecolor=blue, urlcolor=blue}% \else \hypersetup{linkcolor=black,citecolor=black, urlcolor=black}% \fi\fi \urlstyle{rm} \RequirePackage{environ} \def\@aom@by{By} \def\@aom@and{and} \AtBeginDocument{\@ifpackageloaded{babel}{% \addto\captionsfrench{\def\@aom@by{Par}\def\@aom@and{et}}% \addto\captionsgerman{\def\@aom@by{Von}\def\@aom@and{und}}% \addto\captionsenglish{\def\@aom@by{By}\def\@aom@and{and}}}{}} \RequirePackage{yhmath} \DeclareSymbolFont{largesymbols}{OMX}{yhex}{m}{n} \xdef\widehat#1{\noexpand\@mathmeasure\z@\textstyle{#1}% \noexpand\ifdim\noexpand\wd\z@>\tw@ em% \mathaccent"0\hexnumber@\symAMSb 5B{#1}% \noexpand\else\mathaccent"0362{#1}\noexpand\fi} \xdef\widetilde#1{\noexpand\@mathmeasure\z@\textstyle{#1}% \noexpand\ifdim\noexpand\wd\z@>\tw@ em% \mathaccent"0\hexnumber@\symAMSb 5D{#1}% \noexpand\else\mathaccent"0365{#1}\noexpand\fi} \IfFileExists{cmtiup.sty}{% \RequirePackage{cmtiup}}{% \ClassWarning{aomart}{The package mdputu is not found.\MessageBreak You need this package to get italics with upright digits!}} \def\specialdigits{}% \let\sishape=\itshape \let\textsi=\textit \def\@typesizes{% \or{\@vipt}{9}\or{\@viipt}{9}\or{\@viiipt}{9}\or{\@ixpt}{12}% \or{\@xpt}{13}% \or{\@xipt}{14}% normalsize \or{\@xiipt}{15}\or{13}{17}\or{\@xviipt}{20}% \or{19}{23.2}\or{22}{27.8}}% \normalsize \linespacing=\baselineskip \let\widebar\overline \setlength{\textwidth}{31pc} \setlength{\textheight}{48pc} \oddsidemargin=.65in \evensidemargin=.65in \setlength{\topskip}{12pt} \setlength{\abovedisplayskip}{6.95pt plus3.5pt minus 3pt} \setlength{\belowdisplayskip}{6.95pt plus4.5pt minus 3pt} \setlength{\skip\footins}{20pt} \setlength{\dimen\footins}{3in} \setlength\footskip{30pt} \setlength{\parindent}{22pt} \setlength{\parskip}{\z@} \widowpenalty=10000 \clubpenalty=10000 \setlength{\headsep}{14pt} \renewcommand{\headrulewidth}{0pt} \renewcommand{\footrulewidth}{0pt} \if@aom@manuscript@mode \newsavebox{\@aom@linecount} \savebox{\@aom@linecount}[4em][t]{\parbox[t]{4em}{% \@tempcnta\@ne\relax \loop{\underline{\scriptsize\the\@tempcnta}}\\ \advance\@tempcnta by \@ne\ifnum\@tempcnta<43\repeat}} \fi \pagestyle{fancy} \fancyhead{} \fancyfoot{} \fancyhead[CO]{\scriptsize\shorttitle} \fancyhead[RO,LE]{\footnotesize\thepage} \if@aom@manuscript@mode \fancyhead[LE]{\footnotesize\thepage\begin{picture}(0,0)% \put(-26,-25){\usebox{\@aom@linecount}}% \end{picture}} \fancyhead[LO]{\begin{picture}(0,0)% \put(-21,-25){\usebox{\@aom@linecount}}% \end{picture}} \fancyfoot[C]{\scriptsize Proof: page numbers may be temporary} \fi \fancyhead[CE]{\scriptsize\MakeUppercase\shortauthors} \fancypagestyle{firstpage}{% \fancyhf{}% \if@aom@manuscript@mode \lhead{\begin{picture}(0,0)% \put(-21,-25){\usebox{\@aom@linecount}}% \end{picture}} \fi \chead{\scriptsize% \href{\@annalsurl}{Annals of Mathematics} \textbf{\currentvolume} (\currentyear), \start@page% \def\tempa{\pageref{LastPage}}% \edef\tempb{\start@page}% \ifx\tempa\end@page \edef\tempa{\HyPsd@@@pageref{LastPage}}% \else \edef\tempa{\end@page}% \fi \ifx\tempa\tempb\else--\end@page\fi\\ \ifx\@doinumber\@empty\else \edef\@doinumber{\@doinumber}% \expandafter\doi\expandafter{\@doinumber}\fi}% \cfoot{\footnotesize\thepage}}% \def\annalsurl#1{\gdef\@annalsurl{#1}} \annalsurl{http://annals.math.princeton.edu/about} \@onlypreamble{\title} \@onlypreamble{\author} \@onlypreamble{\contrib} \@onlypreamble{\email} \@onlypreamble{\address} \@onlypreamble{\curraddr} \@onlypreamble{\urladdr} \@onlypreamble{\orcid} \@onlypreamble{\givenname} \@onlypreamble{\fulladdress} \@onlypreamble{\surname} \@onlypreamble{\thanks} \@onlypreamble{\keyword} \@onlypreamble{\subject} \@onlypreamble{\received} \@onlypreamble{\revised} \@onlypreamble{\accepted} \@onlypreamble{\published} \@onlypreamble{\publishedonline} \@onlypreamble{\proposed} \@onlypreamble{\seconded} \@onlypreamble{\corresponding} \@onlypreamble{\editor} \@onlypreamble{\version} \@onlypreamble{\volumenumber} \@onlypreamble{\issuenumber} \@onlypreamble{\publicationyear} \@onlypreamble{\copyrightnote} \@onlypreamble{\copyrighyear} \@onlypreamble{\papernumber} \@onlypreamble{\startpage} \@onlypreamble{\endpage} \@onlypreamble{\doinumber} \@onlypreamble{\mrnumber} \@onlypreamble{\zblnumber} \@onlypreamble{\arxivnumber} \def\@names{} \def\givenname#1{\g@addto@macro\@names{givenname=#1;}} \def\surname#1{\g@addto@macro\@names{surname=#1;}} \def\fulladdress#1{\g@addto@macro\@names{fulladdress=#1;}} \renewcommand{\author}[2][]{% \ifx\@empty\authors \gdef\authors{#2}% \g@addto@macro\@names{author=#2;}% \else \g@addto@macro\authors{\and#2}% \g@addto@macro\@names{\and author=#2;}% \g@addto@macro\addresses{\author{}}% \fi \@ifnotempty{#1}{% \ifx\@empty\shortauthors \gdef\shortauthors{#1}% \else \g@addto@macro\shortauthors{\and#1}% \fi }% } \edef\author{\@nx\@dblarg \@xp\@nx\csname\string\author\endcsname} \def\@currentcontribution{} \def\@currentcontributors{} \def\contribs{} \newif\if@startcontribgroup \@startcontribgroupfalse \def\@processcurrentcontribgroup{% \ifx\@currentcontributors\@empty\else \def\@@and{{\upshape \@aom@and}}% \author@andify\@currentcontributors \ifx\contribs\@empty\else \g@addto@macro\contribs{\and}% \fi \expandafter\g@addto@macro\expandafter\contribs \expandafter{\@currentcontribution}% \g@addto@macro\contribs{\space}% \expandafter\g@addto@macro\expandafter\contribs \expandafter{\@currentcontributors}% \fi } \renewcommand{\contrib}[2][]{% \def\@tempa{#1}% \@startcontribgrouptrue \ifx\@tempa\@empty\relax \ifx\@currentcontribution\@empty\relax \ClassError{aomart}{You must define contribution for contributors}{The first \contrib command must have the optional argument indicating the contribution}% \else \@startcontribgroupfalse \fi \fi \ifx\@currentcontribution\@tempa\relax \@startcontribgroupfalse \fi \if@startcontribgroup \@processcurrentcontribgroup \gdef\@currentcontribution{#1}% \gdef\@currentcontributors{#2}% \else \g@addto@macro\@currentcontributors{\and#2}% \fi \g@addto@macro\@names{\and contributor=#2;}% \g@addto@macro\@names{role=}% \expandafter\g@addto@macro\expandafter% \@names\expandafter{\@currentcontribution}% \g@addto@macro\@names{;}% } \renewcommand{\email}[2][]{% \g@addto@macro\addresses{\email{#1}{#2}}% \g@addto@macro\@names{email=#2;}% } \renewcommand{\urladdr}[2][]{% \g@addto@macro\addresses{\urladdr{#1}{#2}}% \g@addto@macro\@names{urladdr=#2;}% } \newcommand{\orcid}[2][]{% \g@addto@macro\addresses{\orcid{#1}{#2}}% \g@addto@macro\@names{orcid=#2;}% } \def\keyword#1{\ifx\@keywords\@empty\gdef\@keywords{#1}\else \g@addto@macro\@keywords{, #1}\fi} \let\@primarysubjects\@empty \let\@secondarysubjects\@empty \let\@primaryscheme\@empty \let\@secondaryschme\@empty \def\subject#1#2#3{% \expandafter\ifx\csname @#1subjects\endcsname\@empty\relax \expandafter\gdef\csname @#1subjects\endcsname{#3}% \else \expandafter\g@addto@macro\csname @#1subjects\endcsname{, #3}% \fi \if@aom@printscheme \expandafter\g@addto@macro\csname @#1subjects\endcsname{% ~(#2)}% \fi} \def\formatdate#1{\@formatdate#1\@endformatdate} \def\@formatdate#1-#2-#3\@endformatdate{% \@tempcnta=#3\relax \ifcase#2\or January\or February\or March\or April\or May\or June\or July\or August\or September\or October\or November\or December\fi \space\the\@tempcnta,\space#1} \def\received#1{\def\@received{#1}} \let\@received\@empty \def\revised#1{\def\@revised{#1}} \let\@revised\@empty \def\accepted#1{\def\@accepted{#1}} \let\@accepted\@empty \def\published#1{\def\@published{#1}} \let\@published\@empty \def\publishedonline#1{\def\@publishedonline{#1}} \let\@publishedonline\@empty \def\volumenumber#1{\def\currentvolume{#1}} \def\issuenumber#1{\def\currentissue{#1}} \def\publicationyear#1{\def\currentyear{#1}} \def\papernumber#1{\def\currentpaper{#1}} \papernumber{0000} \def\startpage#1{\pagenumbering{arabic}\setcounter{page}{#1}% \def\start@page{#1}% \ifnum\c@page<\z@ \pagenumbering{roman}\setcounter{page}{-#1}% \def\start@page{\romannumeral#1}% \fi} \def\endpage#1{\def\@tempa{#1}% \ifx\@tempa\@empty\def\end@page{\pageref{LastPage}}% \else\def\end@page{#1}\fi} \def\pagespan#1#2{\startpage{#1}\endpage{#2}} \pagespan{1}{} \def\g@addto@abstract#1{\g@addto@macro{\@aom@abstract}{#1}} \long\def\@aom@abstract{} \long\def\@getabstract#1{% \bgroup \ifx\languagename\undefined \def\languagename{english}% \fi \g@addto@abstract{}% \g@addto@macro\@aom@abstract{#1}% \g@addto@abstract{}% \egroup \ifx\maketitle\relax \ClassWarning{aomart}{Abstract should precede \protect\maketitle\space in AMS derived classes}% \fi \global\setbox\abstractbox=\vtop\bgroup% \box\abstractbox \vglue1pc% {\centering\normalfont\normalsize\bfseries\abstractname\par\vglue1pc}% \list{}{\labelwidth\z@% \leftmargin3pc \rightmargin\leftmargin% \listparindent\normalparindent \itemindent\normalparindent% \parsep\z@ \@plus\p@% \let\fullwidthdisplay\relax% }% \item[]\normalfont\Small#1 \endlist\egroup} \renewenvironment{abstract}{\Collect@Body\@getabstract}{% \ifx\@setabstract\relax\@setabstracta\fi} \let\proposed\@gobble \let\seconded\@gobble \let\corresponding\@gobble \let\version\@gobble \def\doinumber#1{\gdef\@doinumber{#1}} \doinumber{10.4007/annals.\currentyear.\currentvolume.\currentissue.\currentpaper} \def\mrnumber#1{\gdef\@mrnumber{#1}} \mrnumber{} \def\zblnumber#1{\gdef\@zblnumber{#1}} \zblnumber{} \def\arxivnumber#1{\gdef\@arxivnumber{#1}} \arxivnumber{} \def\copyrightyear#1{\def\@copyrightyear{#1}} \copyrightyear{} \def\copyrightnote#1{\def\@copyrightnote{#1}} \copyrightnote{\textcopyright~% \ifx\@empty\@copyrightyear\currentyear\else\@copyrightyear\fi~% Department of Mathematics, Princeton University} \newwrite\@mainrpi \def\aom@write@paper@info{% \bgroup \if@filesw \openout\@mainrpi\jobname.rpi% \def\and{\string\and\space}% \ifx\r@LastPage\@undefined \edef\@tempa{\start@page}% \else \def\@tempc##1##2##3##4##5{##2}% \edef\@tempa{\expandafter\@tempc\r@LastPage}% \fi \ifx\languagename\undefined \def\languagename{english}% \fi \protected@write\@mainrpi{}% {\@percentchar authors=\authors}% \protected@write\@mainrpi{}% {\@percentchar authors.information={\@names}}% \protected@write\@mainrpi{}% {\@percentchar title=\@title}% \protected@write\@mainrpi{}% {\@percentchar year=\currentyear}% \protected@write\@mainrpi{}% {\@percentchar volume=\currentvolume}% \protected@write\@mainrpi{}% {\@percentchar issue=\currentissue}% \protected@write\@mainrpi{}% {\@percentchar paper=\currentpaper}% \protected@write\@mainrpi{}% {\@percentchar startpage=\start@page}% \protected@write\@mainrpi{}% {\@percentchar endpage=\@tempa}% \protected@write\@mainrpi{}% {\@percentchar doi=\@doinumber}% \ifx\@zblnumber\@empty\else \protected@write\@mainrpi{}% {\@percentchar zbl=\@zblnumber}% \fi \ifx\@mrnumber\@empty\else \protected@write\@mainrpi{}% {\@percentchar mr=\@mrnumber}% \fi \ifx\@arxivnumber\@empty\else \protected@write\@mainrpi{}% {\@percentchar arxiv=\@arxivnumber}% \fi \protected@write\@mainrpi{}% {\@percentchar subjects=Primary \@primarysubjects; Secondary: \@secondarysubjects}% \protected@write\@mainrpi{}% {\@percentchar keywords=\@keywords}% \protected@write\@mainrpi{}% {\@percentchar abstract=\@aom@abstract}% \protected@write\@mainrpi{}% {\@percentchar articlelanguage=\languagename}% \AtEndDocument{\closeout\@mainrpi}% \fi \egroup} \def\@maketitle@hook{\aom@write@paper@info\global\let\@maketitle@hook\@empty} \def\@settitle{\begin{center}% \baselineskip20\p@\relax \bfseries\LARGE \@title \ifpdf \hypersetup{pdftitle=\@title}% \fi \end{center}% } \def\@setauthors{% \ifx\authors\@empty\relax\else \begingroup \def\thanks{\protect\thanks@warning}% \trivlist \centering\footnotesize \@topsep30\p@\relax \advance\@topsep by -\baselineskip \item\relax \def\@@and{{\upshape \@aom@and}}% \author@andify\authors \ifpdf \hypersetup{pdfauthor=\authors}% \fi \def\\{\protect\linebreak}% \small \@aom@by{} \scshape\authors% \@processcurrentcontribgroup \ifx\@empty\contribs \else ,\penalty-3 \space \@setcontribs \fi \endtrivlist \endgroup \fi} \def\@setcontribs{% \def\@@and{{\upshape \@aom@and}}% \author@andify\contribs \contribs } \def\@adminfootnotes{% \let\@makefnmark\relax \let\@thefnmark\relax \ifx\@empty\@date\else \@footnotetext{\@setdate}\fi \ifx\@empty\@subjclass\else \@footnotetext{\@setsubjclass}\fi \ifx\@empty\@keywords\else\@setkeywords\fi \ifx\@empty\@primarysubjects \ifx\@empty\@secondarysubjects \else\@setsubjects\fi \else\@setsubjects\fi \ifx\@empty\thankses\else \@footnotetext{% \def\par{\let\par\@par}\@setthanks}% \fi \ifx\@empty\@copyrightnote\else \@footnotetext{% \def\par{\let\par\@par}\@copyrightnote\@addpunct.}% \fi } \def\@setkeywords{% \ifpdf \hypersetup{pdfkeywords=\@keywords}% \fi \if@aom@oldkeywords\else \@footnotetext{Keywords: \@keywords}% \fi } \def\@setsubjects{% \let\@subjects\@empty \ifx\@primarysubjects\@empty\else \edef\@subjects{Primary:~\@primarysubjects}% \fi \ifx\@secondarysubjects\@empty\else \ifx\@primarysubjects\@empty \edef\@subjects{Secondary:~\@secondarysubjects}% \else \edef\@subjects{\@subjects; Secondary:~\@secondarysubjects}% \fi \fi \ifpdf \hypersetup{pdfsubject=\@subjects}% \fi \if@aom@oldkeywords\else \@footnotetext{AMS Classification:~\@subjects.}% \fi } \def\@@and{\MakeLowercase{\@aom@and}} \def\enddoc@text{% \ifx\@empty\@translators \else\@settranslators\fi \ifx\@empty\@received \else\@setreceived\fi \ifx\@empty\@revised \else\@setrevised\fi \ifx\@empty\addresses \else\@setaddresses\fi} \def\@setreceived{{\centering(Received: \@received)\par}} \def\@setrevised{{\centering(Revised: \@revised)\par}} \def\@setaccepted{{\centering(Accepted: \@accepted)\par}} \def\@setpublished{{\centering(Published: \@published)\par}} \def\@setpublishedonline{{\centering(Published online: \@publishedonline)\par}} \def\emailaddrname{{\itshape E-mail}} \def\@setaddresses{\par \nobreak \begingroup \footnotesize \def\author##1{\nobreak\addvspace\bigskipamount}% \def\\{\unskip, \ignorespaces}% \interlinepenalty\@M \def\address##1##2{\begingroup \par\addvspace\bigskipamount\indent \@ifnotempty{##1}{(\ignorespaces##1\unskip) }% {\scshape\ignorespaces##2}\par\endgroup}% \def\curraddr##1##2{\begingroup \@ifnotempty{##2}{\nobreak\indent\curraddrname \@ifnotempty{##1}{, \ignorespaces\scshape##1\unskip}\hskip0.2em:\space \scshape##2\par}\endgroup}% \def\email##1##2{\begingroup \@ifnotempty{##2}{\nobreak\indent\emailaddrname \@ifnotempty{##1}{, \ignorespaces##1\unskip}\hskip0.2em:\space \href{mailto:##2}{\nolinkurl{##2}}\par}\endgroup}% \def\urladdr##1##2{\begingroup \@ifnotempty{##2}{\nobreak\indent \@ifnotempty{##1}{, \ignorespaces##1\unskip}% \url{##2}\par}\endgroup}% \def\orcid##1##2{\begingroup \@ifnotempty{##2}{\nobreak\indent \@ifnotempty{##1}{, \ignorespaces##1\unskip}% ORCID: ##2\par}\endgroup}% \addresses \endgroup } \renewcommand\contentsnamefont{\bfseries} \def\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\normalfont\bfseries\centering}} \def\subsection{\@startsection{subsection}{2}% {\parindent}{.5\linespacing}{-.5em}% {\normalfont\itshape}} \def\oldsubsections{% \gdef\subsection{\@startsection{subsection}{2}% {\parindent}{.5\linespacing\@plus.7\linespacing}{-.5em}% {\normalfont\itshape}}} \def\subsubsection{\@startsection{subsubsection}{3}% {\parindent}{.5\linespacing}{-.5em}% {\normalfont\itshape}} \providecommand\Hy@AlphNoErr[1]{% \ifnum\value{#1}>26 % Alph\number\value{#1}% \else \ifnum\value{#1}<1 % Alph\number\value{#1}% \else \Alph{#1}% \fi \fi }% \def\appendix{\par\c@section\z@ \c@subsection\z@ \gdef\theHsection{\Hy@AlphNoErr{section}}% \let\sectionname\appendixname \def\thesection{{\upshape\@Alph\c@section}}} \def\@captionheadfont{\normalfont} \newtheoremstyle{plain}{0.5\linespacing}{0.5\linespacing}{\sishape}% {\parindent}{\scshape}{.}{0.5em}% {\thmname{#1}\thmnumber{ #2}\thmnote{\normalfont{} (#3)}} \newtheoremstyle{definition}{0.5\linespacing}{0.5\linespacing}% {\upshape}{\parindent}% {\sishape}{.}{0.5em}% {\thmname{#1}\thmnumber{ #2}\thmnote{\normalfont{} (#3)}} \newtheoremstyle{remark}{0.5\linespacing}{0.5\linespacing}% {\upshape}{\parindent}% {\sishape}{.}{0.5em}% {\thmname{#1}\thmnumber{ #2}\thmnote{\normalfont{} (#3)}} \renewcommand{\newtheorem}{\@ifstar{\@aom@newthm@star}{\@aom@newthm}} \def\@aom@newthm@star{\@ifnextchar[{\@aom@newthm@star@}{\@aom@newthm@star@[]}} \def\@aom@newthm{\@ifnextchar[{\@aom@newthm@}{\@aom@newthm@[]}} \def\@aom@newthm@star@[#1]{\@xnthm *} \def\@aom@newthm@[#1]{\@xnthm \relax} \renewenvironment{proof}[1][\proofname]{\par \pushQED{\qed}% \normalfont \topsep6\p@\@plus6\p@\relax \trivlist \item[\hskip\labelsep\hskip\parindent \itshape #1\@addpunct{.}]\ignorespaces }{% \popQED\endtrivlist\@endpefalse } \def\repeatedauthors#1{\ClassWarning{aomart}{The command is obsolte}#1} \let\bysame@@orig=\bysame \def\bysame{\ClassWarning{aomart}{We no longer omit repeated authors}\bysame@@orig} \def\doi#1{% \if@aom@doiMMXVI \url{http://dx.doi.org/#1}% \else \if@aom@olddoi \href{http://dx.doi.org/#1}{doi: \path{#1}}% \else \url{https://doi.org/#1}% \fi \fi} \def\mr#1{\href{http://www.ams.org/mathscinet-getitem?mr=#1}{MR~\path{#1}}} \def\zbl#1{\href{http://www.zentralblatt-math.org/zmath/en/search/?q=an:#1}{Zbl~\path{#1}}} \def\arxiv#1{\href{http://www.arxiv.org/abs/#1}{arXiv~\path{#1}}} \def\jfm#1{\href{http://www.emis.de/cgi-bin/JFM-item?#1}{JFM~\path{#1}}} \renewcommand{\bibliofont}{\small} \def\EditorialComment#1{\if@aom@manuscript@mode\bgroup \marginparwidth=75pt\marginpar{\scriptsize\raggedright#1}\egroup\fi} \def\@fullref#1#2#3#4{\hyperref[#3]{#1~#2\ref*{#3}#4}} \newcommand{\fullref}[2]{\@fullref{#1}{}{#2}{}} \newcommand{\pfullref}[2]{\@fullref{#1}{(}{#2}{)}} \newcommand{\bfullref}[2]{\@fullref{#1}{[}{#2}{]}} \newcommand{\eqfullref}[2]{\hyperref[#2]{#1~\textup{\tagform@{\ref*{#2}}}}} \newcommand{\fullpageref}[2][page]{\hyperref[#2]{#1~\pageref*{#2}}} \def\eqnarray{% \stepcounter{equation}% \def\@currentlabel{\p@equation\theequation}% \global\@eqnswtrue \m@th \global\@eqcnt\z@ \tabskip\@centering \let\\\@eqncr $$\arraycolsep1\p@ \everycr{}\halign to\displaywidth\bgroup \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel &\global\@eqcnt\@ne\hskip \tw@\arraycolsep \hfil${##}$\hfil &\global\@eqcnt\tw@ \hskip \tw@\arraycolsep $\displaystyle{##}$\hfil\tabskip\@centering &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup \tabskip\z@skip \cr } \newcommand\funding[3][]{% \protected@write\@mainrpi{}% {\@percentchar sponsor=#2, grantid=#3}% \def\@tempa{#1}\relax% \ifx\@tempa\@empty\relax \def\@tempb{#3}% #2% \ifx\@tempb\@empty\relax\else\ (grant~#3)\fi \else #1 \fi} \endinput %% %% End of file `aomart.cls'.