Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type
复制标题
Hirzebruch-Mumford 比例性和正交型的局部对称簇
作者：
V. Gritsenko;K. Hulek;G. Sankaran
对于许多正交型的经典模空间，都有关于Kodaira维数的结果。但在维度大于19的情况下，没有什么是已知的。在本文中，我们在这方面得到了第一个结果。特别地，由签名的偶么模格(2，8m+2)的正交群定义的模簇是一般类型的IF m≥5。
For many classical moduli spaces of orthogonal type there are results about the Kodaira dimension. But nothing is known in the case of dimension greater than 19. In this paper we obtain the first results in this direction. In particular the modular variety defined by the orthogonal group of the even unimodular lattice of signature (2,8m + 2) is of general type if m ≥ 5.