English

Towards bounded negativity of self-intersection on general blown-up projective planes

Algebraic Geometry 2011-01-13 v2

Abstract

We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points. In particular, by applying classical deformation theory we obtain the expected bound in the case of either high ramification or low multiplicity.

Keywords

Cite

@article{arxiv.1012.4989,
  title  = {Towards bounded negativity of self-intersection on general blown-up projective planes},
  author = {Claudio Fontanari},
  journal= {arXiv preprint arXiv:1012.4989},
  year   = {2011}
}

Comments

Final version, to appear on Communications in Algebra

R2 v1 2026-06-21T17:03:07.962Z