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

Izv. RAN. Ser. Mat., 2012 Volume 76, Issue 5, Pages 73–98 (Mi im7128)

Cohomology of real four-dimensional triquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University

Abstract: We consider non-singular intersections of three real six-dimensional quadrics. They are referred to for brevity as real four-dimensional triquadrics. We calculate the dimensions of their cohomology spaces with coefficients in the field of two elements.

Keywords: triquadric, spectral curve, spectral bundle, index function, index orientation.

UDC: 512.7

MSC: 14P25, 14N25, 14J35

Received: 14.02.2011

DOI: 10.4213/im7128


 English version:
Izvestiya: Mathematics, 2012, 76:5, 922–945

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© Steklov Math. Inst. of RAS, 2025