E8 lattice and the Kodaira dimension of orthogonal modular varieties
classification
🧮 math.AG
math.NT
keywords
latticemodularorthogonaldefineddimensionevengeneralgroup
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We prove that for any even lattice L of signature (2,n), the modular variety defined by the orthogonal group of the lattice L+mE_8 is of general type when m is sufficiently large.
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