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Zbl 1170.14302
Kosarew, Siegmund
Geometric and categorical nonabelian duality in complex geometry. (English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 4, 769-797 (2002). ISSN 0391-173X; ISSN 2036-2145/e

Summary: The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.

MSC 2000:: *14F05 Sheaves, etc.
14M17 Homogeneous spaces
32C37 Duality theorems (analytic spaces)
32G08 Deformations of fiber bundles

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