English

Reduction method for linear systems of plane curves with base fat points

Algebraic Geometry 2007-05-23 v1

Abstract

In the paper we develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne Conjecture holds for systems with base points of equal multiplicity bounded by 42.

Keywords

Cite

@article{arxiv.math/0606716,
  title  = {Reduction method for linear systems of plane curves with base fat points},
  author = {Marcin Dumnicki},
  journal= {arXiv preprint arXiv:math/0606716},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-07-22T17:38:08.858Z