English

On Plane Curves with Double and Triple Points

Algebraic Geometry 2014-04-04 v2

Abstract

We describe in simple geometric terms the Hodge filtration on the cohomology groups of the complement U in the projective plane of a curve C with ordinary double and triple points. Relations to Milnor algebra, syzygies of the Jacobian ideal and pole order filtration on the second cohomology of U are given.

Keywords

Cite

@article{arxiv.1401.6032,
  title  = {On Plane Curves with Double and Triple Points},
  author = {Nancy Abdallah},
  journal= {arXiv preprint arXiv:1401.6032},
  year   = {2014}
}

Comments

10 pages

R2 v1 2026-06-22T02:53:17.195Z