# The geometry and arithmetic of a Calabi-Yau Siegel threefold

@article{Cynk2010TheGA, title={The geometry and arithmetic of a Calabi-Yau Siegel threefold}, author={Sławomir Cynk and Eberhard Freitag and Riccardo Salvati Manni}, journal={arXiv: Algebraic Geometry}, year={2010} }

In this paper we treat in details a modular variety $\cal Y$ that has a Calabi-Yau model, $\tilde{\cal Y}$. We shall describe the structure of the ring of modular forms and its geometry. We shall illustrate two different methods of producing the Hodge numbers. The first uses the definition of $\cal Y$ as the quotient of another known Calabi-Yau variety. In this case we will get the Hodge numbers considering the action of the group on a crepant resolution $\tilde{\cal X}$ of $\cal X$. The second…

## 7 Citations

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In the following we describe some examples of Calabi-Yau manifolds, which arise as desingularizations of certain Siegel threefolds. The first Siegel modular variety with a Calabi-Yau model and the…

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We prove a new converse theorem for Borcherds’ multiplicative theta lift which improves the previously known results. To this end we develop a newform theory for vector valued modular forms for the…

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In the following we describe some examples of Calabi-Yau manifolds, which arise as desingularizations of certain Siegel threefolds. The first Siegel modular variety with a Calabi-Yau model and the…

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Some Siegel threefolds with a Calabi-Yau model arXiv.org:0905.4150 accepted by Annali della Scuola Normale Superiore di Pisa

- Some Siegel threefolds with a Calabi-Yau model arXiv.org:0905.4150 accepted by Annali della Scuola Normale Superiore di Pisa