On the Kodaira Dimension of the Moduli Space of Abelian Varieties.
Yung-sheng Tai (1982)
Inventiones mathematicae
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Yung-sheng Tai (1982)
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R. Donagi (1987)
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A.J. de Jong (1993)
Mathematische Annalen
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P. Brückmann (1996)
Journal für die reine und angewandte Mathematik
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H.W. Schuster, A. Vogt (1986)
Journal für die reine und angewandte Mathematik
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M. Fried, R. Biggers (1982)
Journal für die reine und angewandte Mathematik
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Eric Schellhammer (2006)
Bollettino dell'Unione Matematica Italiana
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We investigate the Tits buildings of the paramodular groups with or without canonical level structure, respectively. These give important combinatorical information about the boundary of the toroidal compactification of the moduli spaces of non-principally polarised Abelian varieties. We give a full classification of the isotropic lines for all of these groups. Furthermore, for square-free, coprime polarisations without level structure we show that there is only one top-dimensional isotropic...
M. Seppäla, R. Silhol (1989)
Mathematische Zeitschrift
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M. Fried, R. Biggers (1983)
Journal für die reine und angewandte Mathematik
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Naoki Murabayashi (1996)
Journal für die reine und angewandte Mathematik
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Curtis McMullen (2013)
Journal of the European Mathematical Society
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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
Igor Reider (1988)
Manuscripta mathematica
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B. Jakob (1993)
Journal für die reine und angewandte Mathematik
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R. Silhol (1992)
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M.S. Narasimhan, G. Trautmann (1991)
Journal für die reine und angewandte Mathematik
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Rizov, Jordan (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...
Christian Okonek (1983)
Journal für die reine und angewandte Mathematik
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