Q_l-cohomology projective planes from Enriques surfaces in odd characteristic

TL;DR

This paper classifies Q_l-cohomology projective planes with ADE singularities and trivial canonical bundle in odd characteristic, revealing a deep connection with Enriques surfaces similar to the characteristic zero case.

Contribution

It provides a complete classification in odd characteristic and uncovers a novel relationship with Enriques surfaces, highlighting subtle differences from characteristic zero.

Findings

Classification of Q_l-cohomology projective planes in odd characteristic

Identification of a relation with Enriques surfaces

Insights into differences from characteristic zero cases

Abstract

We give a complete classification of Q_l-cohomology projective planes with isolated ADE-singularities and numerically trivial canonical bundle in odd characteristic. This leads to a beautiful relation with certain Enriques surfaces which parallels the situation in characteristic zero, yet displays intriguing subtleties.