In this article we give necessary and sufficient conditions, in terms of certain tensors called semispecial tensors, respectively slope zero tensors, in order that the universal covering of a complex projective manifold be a symmetric domain of tube type. As an application, we give precisions of a result of Kazhdan showing that a Galois conjugate of such a manifold has the same universal covering.
A characterization of varieties whose universal cover is the polydisk or a tube domain / DI SCALA, ANTONIO JOSE'; Catanese, F.. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - STAMPA. - 356:2(2013), pp. 419-438. [10.1007/s00208-012-0841-x]
A characterization of varieties whose universal cover is the polydisk or a tube domain
DI SCALA, ANTONIO JOSE';
2013
Abstract
In this article we give necessary and sufficient conditions, in terms of certain tensors called semispecial tensors, respectively slope zero tensors, in order that the universal covering of a complex projective manifold be a symmetric domain of tube type. As an application, we give precisions of a result of Kazhdan showing that a Galois conjugate of such a manifold has the same universal covering.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2502314
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