English

Seshadri Constants and the geometry of surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

We examine how the Seshadri constant of an ample line bundle at a very general point of an algebraic surface can carry important global geometric information about the surface. In particular, we obtain a numerical criterion for when a surface admits a dominant map to an algebraic curve.

Keywords

Cite

@article{arxiv.math/0301251,
  title  = {Seshadri Constants and the geometry of surfaces},
  author = {Michael Nakamaye},
  journal= {arXiv preprint arXiv:math/0301251},
  year   = {2007}
}

Comments

10 pages