Geodesic
Cohomology of real three-dimensional triquadrics
Izvestiya. Mathematics , Tome 76 (2012) no. 1, pp. 113-138

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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: spectral curve, spectral bundle, index function, theta characteristic.
Mots-clés : triquadric, index scheme, index orientation 
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V. A. Krasnov. Cohomology of real three-dimensional triquadrics. Izvestiya. Mathematics , Tome 76 (2012) no. 1, pp. 113-138. http://geodesic.mathdoc.fr/item/IM2_2012_76_1_a4/