Vasile Brînzanescu, Neculae Dinuta and Roxana Dinuta: Generalized complex structures on complex 2-tori, p.263-270

Abstract:

We compute the deformations, in the sense of generalized complex structures, of the standard complex structure on a complex 2-torus. We get a smooth complete family depending on six complex parameters and, in particular, we obtain the well-known smooth complete family of complex deformations depending on four parameters.

Key Words: Generalized complex manifolds, deformations of complex structures, 2-tori.

2000 Mathematics Subject Classification: Primary: 32G05,
Secondary: 32G07, 53C56, 58A30, 58H15.

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