Integral p-adic Hodge theory - announcement

被引：0

作者：

Bhatt, B. ^{[1
]}

Morrow, M. ^{[2
]}

Scholze, P. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, 2074 East Hall,530 Church St, Ann Arbor, MI 48109 USA

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

来源：

MATHEMATICAL RESEARCH LETTERS | 2018年 / 25卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a proper, smooth (formal) scheme over the ring of integers of C-p, we prove that if the crystalline cohomology of its special fibre is torsion-free then the p-adic etale cohomology of its generic fibre is also torsion-free. In this announcement we sketch the proof, which relies on the construction of a new cohomology theory interpolating crystalline and etale cohomology. Further details and results will be presented in the full forthcoming article.

引用

页码：1601 / 1612

页数：12

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