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arxiv: 1502.02099 · v3 · pith:CIIQ6XOVnew · submitted 2015-02-07 · 🧮 math.AG

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

classification 🧮 math.AG
keywords holeslatticeleechmodelsprojectivesurfacesautomorphismborcherds
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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.

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