KOSSOVSKIY, Ilya. Sphericity of a real hypersurface via projective geometry. International Journal of Mathematics. Singapore, vol. 27, No 12, p. "nestrankovano", 17 pp. ISSN 0129-167X. doi:10.1142/S0129167X16500993. 2016.
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Basic information
Original name Sphericity of a real hypersurface via projective geometry
Authors KOSSOVSKIY, Ilya (643 Russian Federation, guarantor, belonging to the institution).
Edition International Journal of Mathematics, Singapore, 2016, 0129-167X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Singapore
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.542
RIV identification code RIV/00216224:14310/16:00094220
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1142/S0129167X16500993
UT WoS 000389245800005
Keywords in English Segre varieties; spherical hypersurfaces; Chern-Moser theory
Tags AKR, rivok
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 11/5/2017 19:05.
Abstract
In this work, we obtain an unexpected geometric characterization of sphericity of a real-analytic Levi-nondegenerate hypersurface M in C^2. We prove that M is spherical if and only if its Segre (-Webster) varieties satisfy an elementary combinatorial property, identical to a property of straight lines on the plane and known in Projective Geometry as the Desargues Theorem.
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