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

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2019-09-01

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Finashin, Sergey

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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.

Subject Keywords

Applied Mathematics, General Mathematics

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https://hdl.handle.net/11511/38411

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1090/proc/14340

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Department of Mathematics, Article

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Citation Formats

S. Finashin, “TOPOLOGY OF REAL SCHLAFLI SIX-LINE CONFIGURATIONS ON CUBIC SURFACES AND IN RP3,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 3665–3674, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38411.