Geodesic
On the number of components of a three-dimensional maximal intersection of three real quadrics
Izvestiya. Mathematics , Tome 75 (2011) no. 3, pp. 589-602

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We consider non-singular intersections of three real five-dimensional quadrics. For brevity they are referred to as real three-dimensional triquadrics. We prove the existence of real three-dimensional $M$-triquadrics with $k$ components, where $k$ is any integer in the range $1\leqslant k\leqslant 14$.
Keywords: maximal varieties, spectral curve, theta-characteristics, index function.
Mots-clés : triquadrics 
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     author = {V. A. Krasnov},
     title = {On the number of components of a three-dimensional maximal intersection of three real quadrics},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2011_75_3_a5/}
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V. A. Krasnov. On the number of components of a three-dimensional maximal intersection of three real quadrics. Izvestiya. Mathematics , Tome 75 (2011) no. 3, pp. 589-602. http://geodesic.mathdoc.fr/item/IM2_2011_75_3_a5/