Real four-dimensional \(M\)-triquadrics. (English. Russian original) Zbl 1260.14072
Math. Notes 92, No. 6, 790-796 (2012); translation from Mat. Zametki 92, No. 6, 884-892 (2012).
Summary: 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.
MSC:
| 14P10 | Semialgebraic sets and related spaces |
Keywords:
six-dimensional quadric; triquadric; spectral curve; spectral bundle; index function; index orientation; complete involution; cohomology group; Stiefel-Whitney classReferences:
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