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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2018 Volume 82, Issue 1, Pages 97–150 (Mi im8535)

This article is cited in 5 papers

On intersections of two real quadrics

V. A. Krasnov

P.G. Demidov Yaroslavl State University

Abstract: This paper is devoted to describing properties of complete intersections of two real projective quadrics. For brevity we call such varieties biquadrics. One of the main sections is devoted to real projective spaces on real biquadrics. In another main section we study the topology of the real parts of biquadrics. The other sections are auxiliary.

Keywords: quadric, biquadric, pencil of quadrics, index function, rigid isotopy classification, topological type.

UDC: 512.7

MSC: 14P25, 14N25, 57R19

Received: 01.03.2016
Revised: 11.10.2016

DOI: 10.4213/im8535


 English version:
Izvestiya: Mathematics, 2018, 82:1, 91–139

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© Steklov Math. Inst. of RAS, 2025