Abstract
Nonsingular maximal intersections of three real six-dimensional quadrics are considered. Such algebraic varieties are referred to for brevity as real four-dimensionalM-triquadrics. The dimensions of their cohomology spaces with coefficients in the field of two elements are calculated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Degtyarev, I. Itenberg, and V. Kharlamov, “On the number of components of a complete intersection of real quadrics,” in Perspectives in Analysis, Geometry, and Topology, Progr. Math., arXiv: 0806.4077v2 (Birkhäuser-Verlag, New York, 2012), Vol. 296, pp. 81–107.
V. A. Krasnov, “Maximal intersections of three real quadrics,” Izv. Ross. Akad. Nauk Ser. Mat. 75(3), 127–146 (2011) [Izv. Math. 75 (3), 569–587 (2011)].
S. Yu. Orevkov, “Classification of flexible M-curves of degree 8 up to isotopy,” Geom. Funct. Anal. 12(4), 723–755 (2002).
A. A. Agrachev, “Homology of intersections of real quadrics,” Dokl. Akad. Nauk SSSR 299(5), 1033–1036 (1988) [Soviet Math. Dokl. 37 (2), 493–496 (1988)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V. A. Krasnov, 2012, published in Matematicheskie Zametki, 2012, Vol. 92, No. 6, pp. 884–892.
Rights and permissions
About this article
Cite this article
Krasnov, V.A. Real four-dimensional M-triquadrics. Math Notes 92, 790–796 (2012). https://doi.org/10.1134/S0001434612110247
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434612110247