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Uniform families of minimal rational curves on Fano manifolds
Citation
OcchettA, Gianluca, Solá Conde, Luis and Watanabe, KiwamU (2016). Uniform families of minimal rational curves on Fano manifolds. "Revista Matemática Complutense", v. 29 (n. 2); pp. 423-437. ISSN 1139-1138. https://doi.org/10.1007/s13163-015-0183-9.
Description
| Title: | Uniform families of minimal rational curves on Fano manifolds |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Revista Matemática Complutense |
| Date: | May 2016 |
| ISSN: | 1139-1138 |
| Volume: | 29 |
| Subjects: | |
| Freetext Keywords: | Fano manifolds, Homogeneity, VMRT, Dual varieties |
| Faculty: | Centro de Tecnología Biomédica (CTB) (UPM) |
| Department: | Otro |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
It is a well known fact that families of minimal rational curves on rational homogeneous manifolds of Picard number one are uniform, in the sense that the tangent bundle to the manifold has the same splitting type on each curve of the family. In this note we prove that certain?stronger?uniformity conditions on a family of minimal rational curves on a Fano manifold of Picard number one allow to prove that the manifold is homogeneous.
More information
| Item ID: | 43864 |
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| DC Identifier: | https://oa.upm.es/43864/ |
| OAI Identifier: | oai:oa.upm.es:43864 |
| DOI: | 10.1007/s13163-015-0183-9 |
| Official URL: | http://link.springer.com/article/10.1007/s13163-01... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 10 May 2017 14:51 |
| Last Modified: | 10 May 2017 14:51 |
