Informace o publikaci
Sphericity of a real hypersurface via projective geometry
| Autoři | |
|---|---|
| Rok publikování | 2016 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Mathematics |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1142/S0129167X16500993 |
| Obor | Obecná matematika |
| Klíčová slova | Segre varieties; spherical hypersurfaces; Chern-Moser theory |
| Popis | 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. |