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

Izv. RAN. Ser. Mat., 2012 Volume 76, Issue 1, Pages 121–148 (Mi im5183)

This article is cited in 4 papers

Cohomology of real three-dimensional triquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University

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

Keywords: triquadric, spectral curve, spectral bundle, index function, index scheme, index orientation, theta characteristic.

UDC: 512.7

MSC: 14P25, 14N25

Received: 07.09.2010
Revised: 14.11.2010

DOI: 10.4213/im5183


 English version:
Izvestiya: Mathematics, 2012, 76:1, 113–138

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© Steklov Math. Inst. of RAS, 2025