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A three dimensional ball quotient

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Abstract

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.

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Authors and Affiliations

  1. Mathematisches Institut, Im Neuenheimer Feld 288, 69120 , Heidelberg, Germany

    Eberhard Freitag

  2. Dipartimento di Matematica, Piazzale Aldo Moro, 2, 00185 , Rome, Italy

    Riccardo Salvati Manni

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  1. Eberhard Freitag
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  2. Riccardo Salvati Manni
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Correspondence to Riccardo Salvati Manni.

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Freitag, E., Salvati Manni, R. A three dimensional ball quotient. Math. Z. 276, 345–370 (2014). https://doi.org/10.1007/s00209-013-1203-4

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  • DOI: https://doi.org/10.1007/s00209-013-1203-4

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