Moduli of Gorenstein Q-homology projective planes
Algebraic Geometry
2016-11-14 v2
Abstract
We give a complete classification of complex Q-homology projective planes with isolated rational double point singularities and numerically trivial canonical bundle. There are 31 types, and each has one-dimensional moduli. In fact, all moduli curves are rational and defined over Q, and we determine all families explicitly using extremal rational elliptic surfaces and Enriques involutions of base change type.
Keywords
Cite
@article{arxiv.1505.04163,
title = {Moduli of Gorenstein Q-homology projective planes},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:1505.04163},
year = {2016}
}
Comments
35 pages; v2: major revision streamlining and clarifying several arguments (esp. Lemma 3.1, Prop. 7.1); main results unchanged