Abstract
For real algebraic varieties whose real algebraic cohomology group is maximal, a canonical homomorphism is constructed from the cohomology group of the set of complex points into the cohomology group of the set of real points, and then it is proved that this homomorphism is an isomorphism.
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REFERENCES
V. A. Krasnov, “Harnack–Thom inequalities for mappings of real algebraic varieties,” Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.], 47 (1983), no. 2, 268–297.
V. A. Krasnov, “On the equivariant Grothendieck cohomology of a real algebraic variety and its applications,” Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.], 58 (1994), no. 3, 36–52.
V. A. Krasnov, “Real algebraic GM-manifolds,” Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.], 62 (1998), no. 3, 39–66.
V. A. Krasnov, “Real algebraic varieties and cobordisms,” Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.] (to appear).
R. E. Stong, Notes on Cobordism Theory, Princeton University Press, Princeton, NJ, University of Tokyo Press, Tokyo, 1968.
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Krasnov, V.A. Real Algebraically Maximal Varieties. Mathematical Notes 73, 806–812 (2003). https://doi.org/10.1023/A:1024049813496
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DOI: https://doi.org/10.1023/A:1024049813496