paper

Holes of the Leech lattice and the projective models of K3 surfaces

arXiv:1502.02099

Abstract

Using the theory of holes of the Leech lattice and Borcherds method for the computation of the automorphism group of a K3 surface, we give an effective bound for the set of isomorphism classes of projective models of fixed degree for certain K3 surfaces.

19 pages.The proof of the main theorem is revised. A note on a method of reconfirming the enumeration of the holes of the Leech lattice is added as an appendix. The computational data is changed from Maple format to GAP format

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