Publication details
Sphericity of a real hypersurface via projective geometry
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1142/S0129167X16500993 |
| Field | General mathematics |
| Keywords | Segre varieties; spherical hypersurfaces; Chern-Moser theory |
| Description | 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. |