Varieties Characterized by their Endomorphisms
Algebraic Geometry
2013-09-03 v1
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.
Cite
@article{arxiv.1309.0030,
title = {Varieties Characterized by their Endomorphisms},
author = {Rafael Andrist and Hanspeter Kraft},
journal= {arXiv preprint arXiv:1309.0030},
year = {2013}
}
Comments
8 pages