English

Moving curves and Seshadri constants

Algebraic Geometry 2008-09-15 v1

Abstract

We study families of curves covering a projective surface and give lower bounds on the self-intersection of the members of such families, improving results of Ein-Lazarsfeld and Xu. We apply the obtained inequalities to get new insights on Seshadri constants and geometry of surfaces.

Keywords

Cite

@article{arxiv.0809.2160,
  title  = {Moving curves and Seshadri constants},
  author = {Andreas Leopold Knutsen and Wioletta Syzdek and Tomasz Szemberg},
  journal= {arXiv preprint arXiv:0809.2160},
  year   = {2008}
}

Comments

8 pages

R2 v1 2026-06-21T11:19:37.775Z