Moduli of Gorenstein Q-homology projective planes

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.

35 pages; v2: major revision streamlining and clarifying several arguments (esp. Lemma 3.1, Prop. 7.1); main results unchanged

References in corpus (1)

• Gorenstein $\mathbb{Q}$-homology projective planes

Cited by in corpus (4)

• On Enriques surfaces with four cusps
• Rational double points on Enriques surfaces
• Q_l-cohomology projective planes from Enriques surfaces in odd characteristic
• 12 rational curves on Enriques surfaces