Theta groups and products of abelian and rational varieties
Algebraic Geometry
2010-06-17 v2 Group Theory
Abstract
We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question of V. L. Popov, arXiv:1001.1311 [math.AG].
Keywords
Cite
@article{arxiv.1006.1112,
title = {Theta groups and products of abelian and rational varieties},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:1006.1112},
year = {2010}
}
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5 pages