Geodesic
On intersections of two real quadrics
Izvestiya. Mathematics , Tome 82 (2018) no. 1, pp. 91-139

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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: pencil of quadrics, index function, rigid isotopy classification, topological type.
Mots-clés : quadric, biquadric 
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V. A. Krasnov. On intersections of two real quadrics. Izvestiya. Mathematics , Tome 82 (2018) no. 1, pp. 91-139. http://geodesic.mathdoc.fr/item/IM2_2018_82_1_a4/