\documentclass{amsart}
\usepackage[colorlinks]{hyperref}

%\theoremstyle{plain}
\theoremstyle{definition}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}

%\theoremstyle{definition}
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\newtheorem{definition}[theorem]{Definition}
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\newtheorem{question}[theorem]{Question}
\newtheorem{note}[theorem]{Note}

\theoremstyle{remark}
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\date{}
\title{}
\author{***}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% abstract
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\multiput(62.95,11.89)(.0321,-.2326){4}{\line(0,-1){.2326}}
\multiput(63.2,10.03)(.0321,-.2326){4}{\line(0,-1){.2326}}
\multiput(63.46,8.17)(.0321,-.2326){4}{\line(0,-1){.2326}}
\multiput(63.72,6.31)(.0321,-.2326){4}{\line(0,-1){.2326}}
%\end
\end{picture}
\end{document}
