Endomorphisms of Polynomial Rings and Jacobians
Susumu ODA
math0402051.tex
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\title{Endomorphisms of Polynomial Rings and Jacobians}

\author{Susumu ODA}

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%%\keywords{Jacobian, unramified, etale, polynomial rings, endomorphisms}

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\begin{center} 
Department of Mathematics\\
 Faculty of Education\\
  Kochi University\\
   2-5-1 Akebono-cho, Kochi 780-8520\\
    JAPAN\\
   ssmoda@cc.kochi-u.ac.jp
\end{center}


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This paper has been withdrrawn by the author due to a crucial argument error at p.10.

 
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