TOPOLOGY OF REAL SCHLAFLI SIX-LINE CONFIGURATIONS ON CUBIC SURFACES AND IN RP3


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FİNASHİN S. , Zabun R. A.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.147, ss.3665-3674, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 147 Konu: 9
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1090/proc/14340
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.3665-3674

Özet

A famous configuration of 27 lines on a non-singular cubic surface in P-3 contains remarkable subconfigurations, and in particular the ones formed by six pairwise disjoint lines. We study such six-line configurations in the case of real cubic surfaces from a topological viewpoint, as configurations of six disjoint lines in the real projective 3-space, and show that the condition that they lie on a cubic surface implies a very special property of homogeneity. This property distinguishes them in the list of 11 deformation types of configurations formed by six disjoint lines in RP3.