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Article Dans Une Revue Central European Journal of Mathematics Année : 2018

Homological dimension of isogeny categories of commutative algebraic groups

Michel Brion

Résumé

We determine the homological dimension of various isogenycategories of commutative algebraic groups over a fieldk, in terms of thecohomological dimension ofkat certain primes. This generalizes results ofSerre, Oort and Milne, by an alternative approach.

Dates et versions

hal-02020891 , version 1 (15-02-2019)

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Michel Brion. Homological dimension of isogeny categories of commutative algebraic groups. Central European Journal of Mathematics, 2018, ⟨10.1007/s40879-018-0293-2⟩. ⟨hal-02020891⟩
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