Integral Deligne Cohomology for Real Varieties

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We develop an integral version of Deligne cohomology for smooth proper real varieties. For this purpose the role played by singular cohomology in the complex case has to be replaced by ordinary bigraded G-equivariant cohomology, where G=Gal(C/R). This is the G-equivariant counterpart of singular cohomology. We establish the basic properties of the theory and give a geometric interpretation for the groups in dimension 2 in weights 1 and 2.

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Algebraic Geometry, K-Theory and Homology, 14F43

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http://salesiana.dossiersoluciones.com/handle/123456789/171340

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2058
 http://arxiv.org/abs/0810.2058

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arXiv