On Hodge Theory of Singular Plane Curves

Nancy Abdallah (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

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.

Mots clés: Hodge and pole order filtrations; plane curves

Domaines: Géométrie algébrique [math.AG]

Nancy Abdallah. On Hodge Theory of Singular Plane Curves. 2014. ⟨hal-00984947v2⟩