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arxiv: 1309.0030 · v1 · pith:RJFMA7WEnew · submitted 2013-08-30 · 🧮 math.AG

Varieties Characterized by their Endomorphisms

classification 🧮 math.AG
keywords affineisomorphicvarietiesauthorautomorphismcharacterizedcontainscopy
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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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