Borcherds' method for Enriques surfaces

Abstract

We classify all primitive embeddings of the lattice of numerical equivalence classes of divisors of an Enriques surface with the intersection form multiplied by 2 into an even unimodular hyperbolic lattice of rank 26. These embeddings have a property that facilitates the computation of the automorphism group of an Enriques surface by Borcherds' method.

arXiv comment14 pages, some references are updated

References in corpus (3)

• Coxeter groups, Lorentzian lattices, and K3 surfaces
• On an Enriques surface associated with a quartic Hessian surface
• Enriques involutions on singular K3 surfaces of small discriminants

Cited by in corpus (1)

• Enriques involutions on singular K3 surfaces of small discriminants