English

On Hodge Theory of Singular Plane Curves

Algebraic Geometry 2019-08-15 v2

Abstract

The dimensions of the graded quotients of the cohomology of a plane curve complement with respect to the Hodge filtration are described in terms of simple geometrical invariants. The case of curves with ordinary singularities is discussed in detail.

Keywords

Cite

@article{arxiv.1404.7254,
  title  = {On Hodge Theory of Singular Plane Curves},
  author = {Nancy Abdallah},
  journal= {arXiv preprint arXiv:1404.7254},
  year   = {2019}
}