On Hodge Theory of Singular Plane Curves

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.

References in corpus (2)

• A generalization of Griffiths' theorem on rational integrals
• Chebyshev curves, free resolutions and rational curve arrangements

Cited by in corpus (2)

• Plane curves with three syzygies, minimal Tjurina curves curves, and nearly cuspidal curves
• Spectral pairs, Alexander modules, and boundary manifolds