Finiteness of stable orthogonal modular varieties of non-general type
Algebraic Geometry
2014-08-07 v3
Abstract
We prove that there are only finitely many even lattices L of signature (2,n) with n>14 such that the modular variety defined by the stable orthogonal group of L is not of general type.
Keywords
Cite
@article{arxiv.1309.7121,
title = {Finiteness of stable orthogonal modular varieties of non-general type},
author = {Shouhei Ma},
journal= {arXiv preprint arXiv:1309.7121},
year = {2014}
}
Comments
The previous version contained a serious error in the final paragraph of Section 3, which is bypassed in the current version