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Matematicheskie Zametki, 2013, Volume 93, Issue 6, Pages 844–852
DOI: https://doi.org/10.4213/mzm9106 (Mi mzm9106) 		 
Real Four-Dimensional $\mathit{GM}$-Triquadrics

V. A. Krasnov

P. G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.4213/mzm9106
Abstract: 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 $\mathit{GM}$-variety are established.
Keywords: six-dimensional quadric, $\mathit{GM}$ variety, triquadric, spectral curve, spectral bundle, index function, cohomology group, Stiefel–Whitney class.
Received: 25.03.2011
Revised: 12.09.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 6, Pages 830–836
DOI: https://doi.org/10.1134/S0001434613050222
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. A. Krasnov, “Real Four-Dimensional $\mathit{GM}$-Triquadrics”, Mat. Zametki, 93:6 (2013), 844–852; Math. Notes, 93:6 (2013), 830–836
Citation in format AMSBIB
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