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Real Two-Dimensional Intersections of a Quadric by a Cubic
V. A. Krasnov P. G. Demidov Yaroslavl State University
Abstract:
The paper is devoted to finding the rigid isotopy classes of real projective surfaces that are obtained from nonsingular cubic sections of a chosen nonsingular real quadric. The result thus obtained is used to find the topological type of the real part of the Fano variety for the last rough projective class of real four-dimensional cubics which remained not investigated.
Keywords:
real projective surface, rigid isotopy class, nonsingular cubic section, real four-dimensional cubic, homology group, Euler characteristic.
Received: 20.11.2009
Citation:
V. A. Krasnov, “Real Two-Dimensional Intersections of a Quadric by a Cubic”, Mat. Zametki, 90:4 (2011), 530–540; Math. Notes, 90:4 (2011), 509–516
Linking options:
https://www.mathnet.ru/eng/mzm8558https://doi.org/10.4213/mzm8558 https://www.mathnet.ru/eng/mzm/v90/i4/p530
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