Real four-dimensional \(GM\)-triquadrics. (English. Russian original) Zbl 1273.14121
Math. Notes 93, No. 6, 830-836 (2013); translation from Mat. Zametki 93, No. 6, 844-852 (2013).
Summary: Nonsingular intersections of three real six-dimensional quadrics are considered. Such algebraic varieties are referred to for brevity as real four-dimensional triquadrics. Necessary and sufficient conditions for a real four-dimensional triquadric to be a \(GM\)-variety are established.
MSC:
| 14P05 | Real algebraic sets |
| 14J70 | Hypersurfaces and algebraic geometry |
| 14F25 | Classical real and complex (co)homology in algebraic geometry |
Keywords:
six-dimensional quadric; \(GM\) variety; triquadric; spectral curve; spectral bundle; index function; cohomology group; Stiefel-Whitney classReferences:
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