Abstract:
Nonsingular maximal intersections of three real six-dimensional quadrics are considered. Such algebraic varieties are referred to for brevity as real four-dimensional $M$-triquadrics. The dimensions of their cohomology spaces with coefficients in the field of two elements are calculated.
Keywords:six-dimensional quadric, triquadric, spectral curve, spectral bundle, index function, index orientation, complete involution, cohomology group, Stiefel–Whitney class.
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