Geodesic
On the Algebraic Cohomology of Real Algebraic $M$-Varieties
Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 854-867 
V. A. Krasnov. On the Algebraic Cohomology of Real Algebraic $M$-Varieties. Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 854-867. http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a5/
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     author = {V. A. Krasnov},
     title = {On the {Algebraic} {Cohomology} of {Real} {Algebraic} $M${-Varieties}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $$ \varrho_k\colon H_{\operatorname{alg}}^k(X(\mathbb R),\mathbb Z/2)\to H_{\operatorname{alg}}^{2k}(X(\mathbb C),\mathbb Z/2). $$ 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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