Geodesic
On Hodge Theory of Singular Plane Curves
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 449-460

Voir la notice de l'article provenant de la source Cambridge University Press

The dimensions of the graded quotients of the cohomology of a plane curve complement $U\,=\,{{\mathbb{P}}^{2}}\,\backslash \,C$ 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. We also give a precise numerical estimate for the difference between the Hodge filtration and the pole order filtration on ${{H}^{2}}\left( U,\,\mathbb{C} \right)$ .
DOI : 10.4153/CMB-2016-010-4
Mots-clés : 32S35, 32S22, 14H50, plane curves, Hodge and pole order filtrations 
Abdallah, Nancy. On Hodge Theory of Singular Plane Curves. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 449-460. doi: 10.4153/CMB-2016-010-4
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