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On the Algebraic Cohomology of Real Algebraic M-Varieties

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Abstract

For a real algebraic M-variety X, the canonical homomorphism of the algebraic cohomology group of the set of real points into the algebraic cohomology group of the set of complex points

$$\varrho _k :H_{alg}^k (X(\mathbb{R}),\mathbb{Z}/2) \to H_{alg}^{2k} (X(\mathbb{C}),\mathbb{Z}/2)$$

is considered. This homomorphism agrees with the cycle mappings. Estimates for the dimension of the kernel of this homomorphism are given.

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Authors and Affiliations

  1. Yaroslavl Moscow State University, Russia

    V. A. Krasnov

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  1. V. A. Krasnov
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Krasnov, V.A. On the Algebraic Cohomology of Real Algebraic M-Varieties. Mathematical Notes 76, 796–809 (2004). https://doi.org/10.1023/B:MATN.0000049679.54177.7c

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  • DOI: https://doi.org/10.1023/B:MATN.0000049679.54177.7c

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