Deformations of overconvergent isocrystals on the projective line

JOURNAL OF NUMBER THEORY

卷:237

Article

Agrawal, Shishir¹ 

[1] Colorado Coll, Colorado Springs, CO 80903 USA

关键词: p-adic cohomology;    Isocrystals;    Arithmetic D-modules;    Deformation theory;    Hochschild cochain complex;   

DOI  :  10.1016/j.jnt.2019.11.013

来源: Elsevier

【 摘 要 】

Let k be a perfect field of positive characteristic and Z an effective Cartier divisor in the projective line over k with complement U. In this note, we establish some results about the formal deformation theory of overconvergent isocrystals on U with fixed local monodromy along Z. En route, we show that a Hochschild cochain complex governs deformations of a module over an arbitrary associative algebra. We also relate this Hochschild cochain complex to a de Rham complex in order to understand the deformation theory of a differential module over a differential ring. (c) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free