Uniform families of minimal rational curves on Fano manifolds

OcchettA, Gianluca and 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
Author/s:
  • OcchettA, Gianluca
  • Solá Conde, Luis
  • Watanabe, KiwamU
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

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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
DC Identifier: http://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/s13163-015-0183-9
Deposited by: Memoria Investigacion
Deposited on: 10 May 2017 14:51
Last Modified: 10 May 2017 14:51
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