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Borcherds' method for Enriques surfaces

Authors :
Brandhorst, Simon
Shimada, Ichiro
Publication Year :
2019

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.<br />Comment: 14 pages, some references are updated

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1903.01087
Document Type :
Working Paper