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arXiv · 1709.00175

Homological dimension of isogeny categories of commutative algebraic groups

Michel Brion
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Abstract

We determine the homological dimension of various isogeny categories of commutative algebraic groups over a field $k$, in terms of the cohomological dimension of $k$ at certain primes. This generalizes results of Serre, Oort and Milne, by an alternative approach.

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Michel Brion. 2018-09-17. Homological dimension of isogeny categories of commutative algebraic groups. https://arxiv.org/abs/1709.00175

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