March 2022 Borcherds’ Method for Enriques Surfaces
Simon Brandhorst, Ichiro Shimada
Michigan Math. J. 71(1): 3-18 (March 2022). DOI: 10.1307/mmj/20195769

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.

Citation

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Simon Brandhorst. Ichiro Shimada. "Borcherds’ Method for Enriques Surfaces." Michigan Math. J. 71 (1) 3 - 18, March 2022. https://doi.org/10.1307/mmj/20195769

Information

Received: 10 July 2019; Revised: 1 November 2020; Published: March 2022
First available in Project Euclid: 30 March 2021

MathSciNet: MR4389670
zbMATH: 1487.14090
Digital Object Identifier: 10.1307/mmj/20195769

Subjects:
Primary: 14J28
Secondary: 14Q10

Rights: Copyright © 2022 The University of Michigan

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Vol.71 • No. 1 • March 2022
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