Displaying similar documents to “On the Kodaira Dimension of the Moduli Space of Abelian Varieties.”

Big Schottky.

R. Donagi (1987)

Inventiones mathematicae

Similarity:

On the Tits building of paramodular groups

Eric Schellhammer (2006)

Bollettino dell'Unione Matematica Italiana

Similarity:

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...

Moduli stacks of polarized K3 surfaces in mixed characteristic

Rizov, Jordan (2006)

Serdica Mathematical Journal

Similarity:

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...

Navigating moduli space with complex twists

Curtis McMullen (2013)

Journal of the European Mathematical Society

Similarity:

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.