Generalized complex structures on Kodaira surfaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Brinzanescu, Vasile¹  Turcu, Oana Adela¹ 

[1] Simian Stoilow Romanian Acad, Inst Math, RO-70700 Bucharest, Romania

关键词: Generalized complex structures;    Deformations;    Maurer-Cartan equation;   

DOI  :  10.1016/j.geomphys.2009.08.007

来源: Elsevier

【 摘 要 】

We compute the deformations in the sense of generalized complex structures of the standard classical complex structure on a primary Kodaira surface and we prove that the obtained family of deformations is a smooth locally complete family depending on four complex parameters. This family is the same as the extended deformations (in the sense of Kontsevich and Barannikov) in degree two, obtained by Poon using differential Gerstenhaber algebras. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free