Geodesic
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type
Documenta mathematica, Tome 13 (2008), pp. 1-19.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: $\noindent $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 $m\ge 5$.
Classification : 14J15, 11F55
Keywords: locally symmetric variety, modular form, Hirzebruch-Mumford proportionality 
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     author = {Gritsenko, V. and Hulek, K. and Sankaran, G.K.},
     title = {Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type},
     journal = {Documenta mathematica},
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     volume = {13},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2008__13__a23/}
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Gritsenko, V.; Hulek, K.; Sankaran, G.K. Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type. Documenta mathematica, Tome 13 (2008), pp. 1-19. http://geodesic.mathdoc.fr/item/DOCMA_2008__13__a23/