Varieties Characterized by their Endomorphisms

2013/08/30 by Rafael Andrist, Andrist, Rafael, Hanspeter Kraft +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1309.0030

8 pages

arxiv created 2013/08/30 · arxiv updated 2013/09/03

Abstract

We show that two varieties X and Y with isomorphic endomorphism semigroups are isomorphic up to field automorphism if one of them is affine and contains a copy of the affine line. A holomorphic version of this result is due to the first author.

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