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This article is cited in 12 scientific papers (total in 12 papers)
Algebraic cycles on a real algebraic GM-manifold and their applications
V. A. Krasnov
Abstract:
For an algebraic cycle $Y\in A_k(X)$ on a real algebraic $\operatorname{GM}$-manifold $X$, the relationship between the homology classes $[Y(\mathbf C)]\in H_{2k}(X(\mathbf C),\mathbf Z)$ and $[Y(\mathbf R)]\in H_k(X(\mathbf R),\mathbf F_2)$ is studied. It is shown that similar relations hold for smooth cycles on a $\operatorname{GM}$-surface. The results are applied to prove congruences for the Euler characteristic of the set $X(\mathbf R)$.
Received: 20.05.1991
Citation:
V. A. Krasnov, “Algebraic cycles on a real algebraic GM-manifold and their applications”, Izv. RAN. Ser. Mat., 57:4 (1993), 153–173; Russian Acad. Sci. Izv. Math., 43:1 (1994), 141–160
Linking options:
https://www.mathnet.ru/eng/im863https://doi.org/10.1070/IM1994v043n01ABEH001554 https://www.mathnet.ru/eng/im/v57/i4/p153
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Abstract page: | 301 | Russian version PDF: | 79 | English version PDF: | 14 | References: | 44 | First page: | 3 |
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