English

A Compactification of the Space of Algebraic Maps from P^1 to P^n

Algebraic Geometry 2011-03-30 v4

Abstract

We provide a natural smooth projective compactification of the space of algebraic maps from the projective line to the projective space of dimension n by adding a divisor with simple normal crossings.

Keywords

Cite

@article{arxiv.math/0701255,
  title  = {A Compactification of the Space of Algebraic Maps from P^1 to P^n},
  author = {Yi Hu and Jiayuan Lin and Yijun Shao},
  journal= {arXiv preprint arXiv:math/0701255},
  year   = {2011}
}

Comments

Final version to appear in "Communications in Analysis and Geometry". 22 pages. This paper supersedes math.AG/0505482