The Noether–Fano inequalities for codimension one singular holomorphic foliations
| Autor: | Luís Gustavo Mendes |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Mathematical analysis Holomorphic function Algebraic geometry Codimension Fano plane Mathematics::Algebraic Geometry Homogeneous space Foliation (geology) Projective space Mathematics::Differential Geometry Geometry and Topology Mathematics::Symplectic Geometry Mathematics Projective geometry |
| Zdroj: | Geometriae Dedicata. 139:33-47 |
| ISSN: | 1572-9168 0046-5755 |
| DOI: | 10.1007/s10711-008-9332-3 |
| Popis: | The idea of the proof of the classical Noether–Fano inequalities can be adapted to the domain of codimension one singular holomorphic foliations of the projective space. We obtained criteria for proving that the degree of a foliation on the plane is minimal in the birational class of the foliation and for the non-existence of birational symmetries of generic foliations (except automorphisms). Moreover, we give several examples of birational symmetries of special foliations illustrating our results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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