# A three dimensional ball quotient

@article{Freitag2011ATD, title={A three dimensional ball quotient}, author={Eberhard Freitag and Riccardo Salvati Manni}, journal={Mathematische Zeitschrift}, year={2011}, volume={276}, pages={345-370} }

In this paper we determine a very particular example of a Picard modular variety of general type. On its non-singular models there exist many holomorphic differential forms. In a forthcoming paper we will show that one can construct Calabi–Yau manifolds by considering quotients of this variety and resolving singularities.

## 4 Citations

Some ball quotients with a Calabi–Yau model

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- 2012

The aim of this note is to treat one distinguished example of a Calabi--Yau variety that appears as a small resolution of a Picard modular variety

Vector-valued modular forms on a three-dimensional ball

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Cl\'ery and van der Geer determined generators for some modules of vector valued Picard modular forms on the two dimensional ball. In this paper we consider the case of a three dimensional ball with…

N T ] 2 M ar 2 02 2 Modular forms on SU ( 2 , 1 ) with weight 13

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In this note, we describe several new examples of holomorphic modular forms on the group SU(2, 1). These forms are distinguished by having weight 13 . We also describe a method for determining the…

Free algebras of modular forms on ball quotients

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In this paper we study algebras of modular forms on unitary groups of signature (n, 1). We give a necessary and sufficient condition for an algebra of unitary modular forms to be free in terms of the…

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