Perfectoid covers of abelian varieties

Blakestad, C., Gvirtz, D. , Heuer, B., Shchedrina, D., Shimizu, K., Wear, P. and Yao, Z. (2022) Perfectoid covers of abelian varieties. Mathematical Research Letters, 29(3), pp. 631-662. (doi: 10.4310/mrl.2022.v29.n3.a2)

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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 lim←−−[p]A. Our proof also works for the larger class of abeloid varieties.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gvirtz, Dr Damian
Authors: Blakestad, C., Gvirtz, D., Heuer, B., Shchedrina, D., Shimizu, K., Wear, P., and Yao, Z.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematical Research Letters
Publisher:International Press
ISSN:1073-2780
ISSN (Online):1945-001X
Published Online:30 November 2022

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