| KOSSOVSKIY, Ilya. Sphericity of a real hypersurface via projective geometry. Online. International Journal of Mathematics. Singapore, 2016, roč. 27, č. 12, s. "nestrankovano", 17 s. ISSN 0129-167X. Dostupné z: https://dx.doi.org/10.1142/S0129167X16500993. [citováno 2024-04-23] |
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@article{1376678,
author = {Kossovskiy, Ilya},
article_location = {Singapore},
article_number = {12},
doi = {http://dx.doi.org/10.1142/S0129167X16500993},
keywords = {Segre varieties; spherical hypersurfaces; Chern-Moser theory},
language = {eng},
issn = {0129-167X},
journal = {International Journal of Mathematics},
title = {Sphericity of a real hypersurface via projective geometry},
volume = {27},
year = {2016}
}
TY - JOUR
ID - 1376678
AU - Kossovskiy, Ilya
PY - 2016
TI - Sphericity of a real hypersurface via projective geometry
JF - International Journal of Mathematics
VL - 27
IS - 12
SP - "nestrankovano"
EP - "nestrankovano"
SN - 0129167X
KW - Segre varieties
KW - spherical hypersurfaces
KW - Chern-Moser theory
N2 - 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.
ER -
KOSSOVSKIY, Ilya. Sphericity of a real hypersurface via projective geometry. Online. \textit{International Journal of Mathematics}. Singapore, 2016, roč.~27, č.~12, s.~''nestrankovano'', 17 s. ISSN~0129-167X. Dostupné z: https://dx.doi.org/10.1142/S0129167X16500993. [citováno 2024-04-23]
|
