Borcherds' method for Enriques surfaces
Algebraic Geometry
2021-03-23 v2
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.
Keywords
Cite
@article{arxiv.1903.01087,
title = {Borcherds' method for Enriques surfaces},
author = {Simon Brandhorst and Ichiro Shimada},
journal= {arXiv preprint arXiv:1903.01087},
year = {2021}
}
Comments
14 pages, some references are updated