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Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type


Reference:

Gritsenko, V., Hulek, K. and Sankaran, G. K., 2008. Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type. Documenta Mathematica, 13, pp. 1-19.

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Abstract

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.

Details

Item Type Articles
CreatorsGritsenko, V., Hulek, K. and Sankaran, G. K.
Related URLs
URLURL Type
http://www.math.uni-bielefeld.de/documenta/vol-13/01.htmlFree Full-text
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code6931

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