Helly dimension of algebraic groups
Representation Theory
2014-02-26 v2 Commutative Algebra
Algebraic Geometry
Abstract
It is shown that for a linear algebraic group G over a field of characteristic zero, there is a natural number \kappa(G) such that if a system of Zariski closed cosets in G has empty intersection, then there is a subsystem consisting of at most \kappa(G) cosets with empty intersection. This is applied to the study of algebraic group actions on product varieties.
Keywords
Cite
@article{arxiv.0911.0404,
title = {Helly dimension of algebraic groups},
author = {M. Domokos and E. Szabó},
journal= {arXiv preprint arXiv:0911.0404},
year = {2014}
}
Comments
18 pages