Perfectoid covers of abelian varieties

被引：0

作者：

Blakestad, Clifford ^{[1
]}

Gvirtz, Damian ^{[2
]}

Heuer, Ben ^{[3
]}

Shchedrina, Daria ^{[4
]}

Shimizu, Koji ^{[5
]}

Wear, Peter ^{[6
]}

Yao, Zijian ^{[7
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang, South Korea

[2] UCL, Dept Math, Gower St, London WC1E 6BT, England

[3] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

[4] Altitude gym, Kanata, ON, Canada

[5] Univ Calif Berkeley, Dept Math, 943 Evans Hall, Berkeley, CA 94720 USA

[6] Univ Utah, Dept Math, 155 South 1400 East,JWB 233, Salt Lake City, UT 84112 USA

[7] Harvard Univ, Sci Ctr 242F, 1 Oxford St, Cambridge, MA 02138 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2022年 / 29卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

COHOMOLOGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an abeloid 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.

引用

页码：631 / 662

页数：32

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