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arXiv · 1903.01087

Borcherds' method for Enriques surfaces

Simon Brandhorst·Ichiro Shimada
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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.

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Simon Brandhorst, Ichiro Shimada. 2019-03-04. Borcherds' method for Enriques surfaces. https://arxiv.org/abs/1903.01087

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