On ordinary Enriques surfaces in positive characteristic

TL;DR

This paper introduces the concept of ordinary Enriques surfaces in positive characteristic, explores their canonical lifts, and establishes Torelli-type theorems for this class, advancing understanding in algebraic geometry.

Contribution

It defines ordinary Enriques surfaces in positive characteristic and proves Torelli-type results, providing new insights into their structure and classification.

Findings

Defined ordinary Enriques surfaces in positive characteristic

Proved Torelli-type theorems for these surfaces

Established canonical lifts in any positive characteristic

Abstract

We give a notion of ordinary Enriques surfaces and their canonical lifts in any positive characteristic, and we prove Torelli-type results for this class of Enriques surfaces.