Name
Abstract | ||
|---|---|---|
Given a hypersurface in the complex projective n-space we prove several known formulas for the degree of its polar map by purely algebro-geometric methods. Furthermore, we give formulas for the degree of its polar map in terms of the degrees of the polar maps of its components. As an application, we classify the plane curves with polar map of low degree, including a very simple proof of I. Dolgachev's classification of homaloidal plane curves. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1112/jlms/jds005 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Keywords | Field | DocType |
algebraic geometry,plane curve | Topology,Mathematical analysis,Hypersurface,Plane curve,Polar,Mathematics,Polar curve,Projective test | Journal |
Volume | Issue | ISSN |
86 | 1 | 0024-6107 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thiago Fassarella | 1 | 0 | 0.34 |
| Nivaldo Medeiros | 2 | 0 | 0.34 |