English

A Compactification of the Space of Parametrized Rational Curves in Grassmannians

Algebraic Geometry 2011-08-12 v1

Abstract

We construct an explicit compactification for the space of parametrized rational curves in a Grassmanian by a nonsingular projective variety such that the boundary is a divisor with simple normal crossings. This compactification is obtained by blowing up a Quot scheme successively along appropriate subschemes.

Keywords

Cite

@article{arxiv.1108.2299,
  title  = {A Compactification of the Space of Parametrized Rational Curves in Grassmannians},
  author = {Yijun Shao},
  journal= {arXiv preprint arXiv:1108.2299},
  year   = {2011}
}

Comments

36 pages