English

Higher Fano manifolds and rational surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

For a Fano manifold of pseudo-index at least 3 and c122c2c_1^2-2c_2 nef, we show irreducibility of certain spaces of curves on the Fano manifold implies the manifold is a union of rational surfaces.

Keywords

Cite

@article{arxiv.math/0602647,
  title  = {Higher Fano manifolds and rational surfaces},
  author = {A. J. de Jong and Jason Michael Starr},
  journal= {arXiv preprint arXiv:math/0602647},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-07-22T17:32:10.364Z