Construction of quasi-canonical liftings of K3 surfaces of finite height in odd characteristic

Autor:	Inoue, Kentaro
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry 14J28 14G15 14F30 14F40
Druh dokumentu:	Working Paper
Popis:	We construct a quasi-canonical lifting of a $K3$ surface of finite height over a finite field of characteristic $p\geq3$. Such results are previously obtained by Nygaard-Ogus when $p\geq5$. For this purpose, we use the display-theoretic deformation theory developed by Langer, Zink, and Lau. We study the display structure of the crystalline cohomology of deformations of a $K3$ surface of finite height in terms of the Dieudonn\'e display of the enlarged formal Brauer group. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.11227 Zobrazit plný text záznamu View this record from Arxiv