pith. sign in

arxiv: 1804.04455 · v2 · pith:A3YTQB7Anew · submitted 2018-04-12 · 🧮 math.AG · math.NT

Perfectoid covers of abelian varieties

Clifford Blakestad , Dami\'an Gvirtz-Chen , Ben Heuer , Daria Shchedrina , Koji Shimizu , Peter Wear , Zijian Yao This is my paper
classification 🧮 math.AG math.NT
keywords abelianperfectoidvarietiesabeloidalgebraicallycharacteristicclassclosed
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Vanishing of cohomology in infinitely ramified towers

    math.AG 2026-05 unverdicted novelty 5.0

    New proof of Esnault vanishing for constructible sheaf cohomology in mock Frobenius towers via global perversity of nearby cycles.