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arXiv · 1804.04455

Perfectoid covers of abelian varieties

Clifford Blakestad·Damián Gvirtz-Chen·Ben Heuer·Daria Shchedrina·Koji Shimizu·Peter Wear·Zijian Yao
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Abstract

For an abelian variety $A$ over an algebraically closed non-archimedean field of residue characteristic $p$, we show that there exists a perfectoid space which is the tilde-limit of $\varprojlim_{[p]}A$. Our proof also works for the larger class of abeloid varieties.

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Clifford Blakestad, Damián Gvirtz-Chen, Ben Heuer, Daria Shchedrina, Koji Shimizu, Peter Wear, Zijian Yao. 2020-02-06. Perfectoid covers of abelian varieties. https://arxiv.org/abs/1804.04455

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