Geodesic
Real Segre cubics, Igusa quartics and Kummer quartics
Izvestiya. Mathematics , Tome 84 (2020) no. 3, pp. 502-544

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We prove some properties of real Segre cubics. In particular, we find the topological types of the real parts of Segre cubics as well as the topological types of the real parts of the complements of the Segre planes. We prove some differential-geometric properties of the real parts of real Segre cubics and Kummer quartics. We study the automorphism groups of real Segre cubics and, in particular, their action on the real parts of these cubics.
Keywords: Segre cubic, translation group, quadratic line complex.
Mots-clés : Kummer quartic, permutation group, Igusa quartic 
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     author = {V. A. Krasnov},
     title = {Real {Segre} cubics, {Igusa} quartics and {Kummer} quartics},
     journal = {Izvestiya. Mathematics },
     pages = {502--544},
     publisher = {mathdoc},
     volume = {84},
     number = {3},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2020_84_3_a2/}
}
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V. A. Krasnov. Real Segre cubics, Igusa quartics and Kummer quartics. Izvestiya. Mathematics , Tome 84 (2020) no. 3, pp. 502-544. http://geodesic.mathdoc.fr/item/IM2_2020_84_3_a2/