English

An extension of Fujita's non extendability theorem for Grassmannians

Algebraic Geometry 2015-03-10 v1

Abstract

In this paper we study smooth complex projective varieties XX containing a Grassmannian of lines G(1,r)G(1,r) which appears as the zero locus of a section of a rank two nef vector bundle EE. Among other things we prove that the bundle EE cannot be ample.

Keywords

Cite

@article{arxiv.0906.4695,
  title  = {An extension of Fujita's non extendability theorem for Grassmannians},
  author = {Roberto Munoz and Gianluca Occhetta and Luis E. Sola Conde},
  journal= {arXiv preprint arXiv:0906.4695},
  year   = {2015}
}