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

Published online by Cambridge University Press:  09 September 2016

ICHIRO SHIMADA
ICHIRO SHIMADA*
Affiliation:
Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, 739-8526Japan e-mail: shimada@math.sci.hiroshima-u.ac.jp
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 163 , Issue 1 , July 2017 , pp. 125 - 143
Copyright
Copyright © Cambridge Philosophical Society 2016 

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