Rational curves on blowing-ups of projective spaces
Algebraic Geometry
2007-05-23 v1
Abstract
We prove the irredcibility (and the rational connectedness) of the moduli spaces of (free) morphisms from a projective line to a successive blowing-up of a product of projective spaces if a suitable numerical condition on morphisms is provided (and also if all centers of the blowing-up are rationally connected).
Cite
@article{arxiv.math/0612607,
title = {Rational curves on blowing-ups of projective spaces},
author = {Bumsig Kim and Yongnam Lee and Kyungho Oh},
journal= {arXiv preprint arXiv:math/0612607},
year = {2007}
}
Comments
11 pages