Helly dimension of algebraic groups

Details Helly dimension of algebraic groups Helly dimension of algebraic groups

2009-11-02

arxiv.org/abs/0911.0404v2

Mathematics

Representation Theory

18 pages

Scientific paper

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.

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