Grothendieck groups of categories of abelian varieties

Ari Shnidman

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arXiv · 1701.03744

Grothendieck groups of categories of abelian varieties

Ari Shnidman

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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 $k$ has characteristic 0, and for any elliptic curve $A$ in any characteristic.

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BibTeX RIS

Ari Shnidman. 2017-01-13. Grothendieck groups of categories of abelian varieties. https://arxiv.org/abs/1701.03744

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