Abstract
It is proved that there is only one relation between the homology classes determined by the real points of a special real algebraic variety. This relation is equal to the sum of all the homology classes.
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V. M. Kharlamov, “Topological types of regular surfaces of degree 4 in\(\mathbb{R}\mathbb{P}^3 \)”Funktsional. Anal. i Prilozhen. [Functional Anal. Appl.],10, No. 4, 55–68 (1976).
V. A. Krasnov, “On homology classes defined by real points of a real algebraic variety,”Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],55, No. 2, 282–302 (1991).
V. A. Krasnov, “On the equivariant Grothendieck cohomology of a real algebraic variety and its application,”Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.],58, No. 3, 36–52 (1994).
V. A. Krasnov, “On cohomology classes determined by real points of a real algebraic GM-surface,”Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.],57, No. 5, 210–221 (1993).
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Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 216–219, August, 1999.
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Krasnov, V.A. On the fundamental homology classes of a real algebraic variety. Math Notes 66, 171–173 (1999). https://doi.org/10.1007/BF02674874
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DOI: https://doi.org/10.1007/BF02674874