Arithmetic moduli and lifting of Enriques surfaces

Author:

Liedtke Christian

Abstract

AbstractWe construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in ℙ

Funder

DFG

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

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