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This article is cited in 5 scientific papers (total in 5 papers)
On homology classes determined by real points of a real algebraic variety
V. A. Krasnov
Abstract:
For a nonsingular $n$-dimensional real projective algebraic variety $X$ the set $X(\mathbf R)$ of its real points is the union of connected components $X(\mathbf R)=X_1\cup\dots\cup X_m$. Those components give rise to homology classes $[X_1],\dots,[X_m]\in H_n(X(\mathbf C),\mathbf F_2)$. In this paper a bound on the number of relations between those homology classes is obtained.
Received: 05.05.1988
Citation:
V. A. Krasnov, “On homology classes determined by real points of a real algebraic variety”, Izv. Akad. Nauk SSSR Ser. Mat., 55:2 (1991), 282–302; Math. USSR-Izv., 38:2 (1992), 277–297
Linking options:
https://www.mathnet.ru/eng/im1010https://doi.org/10.1070/IM1992v038n02ABEH002199 https://www.mathnet.ru/eng/im/v55/i2/p282
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Abstract page: | 226 | Russian version PDF: | 72 | English version PDF: | 4 | References: | 31 | First page: | 1 |
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