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\author[Pol Van Hoften]{Pol van Hoften} 
\address{School of Mathematical Sciences, Zhejiang University, 866 Yuhangtang Rd, Hangzhou, 310058, P. R. China}
\email{pvhoften@zju.edu.cn}
\thanks{PvH is (partly) funded by the Dutch Research Council (NWO) under the grant VI.Veni.232.127.}
\author[Jack Sempliner]{Jack Sempliner}
\address{Mathematical Sciences Building, 520 Portola Plaza, Los Angeles, CA 90095, United States of America}
\email{jsempliner@math.ucla.edu}



\title{The Hodge conjecture for CM abelian varieties}
\begin{document}
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\begin{abstract}
Following the recent work \cite{OAI}, we give a proof of the Hodge conjecture for CM abelian varieties. 
\end{abstract}

\input{Sections/Introduction}

\input{Sections/Reduction}

\input{Sections/Picard}

\input{Sections/Theta}

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\end{document}