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1. Grothendieck groups of categories of abelian varieties

Author

Shnidman, Ari

Abstract

We compute the Grothendieck group of the category of abelian varieties over an algebraically closed field k. We also compute the Grothendieck group of the category of A-isotypic abelian varieties, for any simple abelian variety A, assuming khas characteristic 0, and for any elliptic curve Ain any characteristic.

Published
2017
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