KOSSOVSKIY, Ilya. Sphericity of a real hypersurface via projective geometry. 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. |
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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. \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.
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