Real Segre cubics, Igusa quartics and Kummer quartics

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 cub...

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Bibliographic Details
Published inIzvestiya. Mathematics Vol. 84; no. 3; pp. 502 - 544
Main Author Krasnov, V. A.
Format Journal Article
LanguageEnglish
Published Providence London Mathematical Society, Turpion Ltd and the Russian Academy of Sciences 01.06.2020
IOP Publishing
Subjects
Automorphisms
Differential geometry
Igusa quartic
Injection molding
Kummer quartic
permutation group
quadratic line complex
Rapid prototyping
Segre cubic
Topology
translation group
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Summary: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.
ISSN:1064-5632
1468-4810
DOI:10.1070/IM8827