Homological dimension of isogeny categories of commutative algebraic groups
Algebraic Geometry
2018-09-18 v3
Abstract
We determine the homological dimension of various isogeny categories of commutative algebraic groups over a field , in terms of the cohomological dimension of at certain primes. This generalizes results of Serre, Oort and Milne, by an alternative approach.
Keywords
Cite
@article{arxiv.1709.00175,
title = {Homological dimension of isogeny categories of commutative algebraic groups},
author = {Michel Brion},
journal= {arXiv preprint arXiv:1709.00175},
year = {2018}
}
Comments
Many minor changes. Final version, accepted for publication in European Journal of Mathematics