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Characteristic foliation on a hypersurface of general type in a projective symplectic manifold
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hwang, Junghyun Viehweg, Eckart |
| Copyright Year | 2008 |
| Abstract | A foliation on a non-singular projective variety is algebraically integrable if all leaves are algebraic subvarieties. A non-singular hypersurface X in a non-singular projective variety M equipped with a symplectic form has a naturally defined foliation, called the characteristic foliation on X. We show that if X is of general type and dimM > 4, then the characteristic foliation on X cannot be algebraically integrable. This is a consequence of a more general result on Iitaka dimensions of certain invertible sheaves associated with algebraically integrable foliations by curves. The latter is proved using the positivity of direct image sheaves associated to families of curves. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0812.2714v1.pdf |
| Alternate Webpage(s) | http://page.mi.fu-berlin.de/esnault/preprints/ec/hwang_comp.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Celestial coordinate system Formal system Hamiltonian (quantum mechanics) Ocular orbit Quasiperiodicity Respiratory Mechanics Singular Statistical manifold Symplectic integrator |
| Content Type | Text |
| Resource Type | Article |
