English

Spaces of morphisms from a projective space to a toric variety

Algebraic Topology 2012-10-11 v1 Algebraic Geometry

Abstract

In this paper we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spaces of rational maps from CP^m to CP^n extends to the spaces of continuous morphisms from CP^m to X, essentially, with the same proof. In the case of curves, our result improves the known bounds for the stabilization dimension.

Keywords

Cite

@article{arxiv.1210.2795,
  title  = {Spaces of morphisms from a projective space to a toric variety},
  author = {Jacob Mostovoy and Erendira Munguia-Villanueva},
  journal= {arXiv preprint arXiv:1210.2795},
  year   = {2012}
}

Comments

about 10 pages