Geodesic
The real Pl\" ucker--Klein map
Izvestiya. Mathematics , Tome 86 (2022) no. 3, pp. 456-507

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We consider the generalized Plücker–Klein map from the set of all real marked biquadrics to the set of real Kummer varieties. We find a necessary and sufficient condition on a real marked biquadric in order that the corresponding real Kimmer variety be isomorphic to the real Kummer variety induced by the real Jacobian of a double covering of the pencil of quadrics through the given biquadric. We also give a deformation classification of the real Plücker–Klein map.
Keywords: pencil of quadrics, marked biquadric, cosingular biquadrics, Kummer variety.
Mots-clés : Plücker–Klein map, quadric, biquadric 
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     author = {V. A. Krasnov},
     title = {The real {Pl\"} {ucker--Klein} map},
     journal = {Izvestiya. Mathematics },
     pages = {456--507},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2022_86_3_a1/}
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V. A. Krasnov. The real Pl\" ucker--Klein map. Izvestiya. Mathematics , Tome 86 (2022) no. 3, pp. 456-507. http://geodesic.mathdoc.fr/item/IM2_2022_86_3_a1/