Cohomology of algebraic plane curves




Date(s) : 21/05/2015   iCal
14 h 00 min - 15 h 00 min

Let C in P2 be a curve given by f = 0 where f is in C[x; y; z].
Denote by J_f the Jacobian ideal of f, i.e. the ideal generated by the partial derivatives of f. We describe the relations between the Milnor algebra M(f) = S/J_f of f and the singularities of C which can be done by a study of the cohomology of the Koszul complex of the partial derivatives of f. We also give a description of the Hodge filtration on the cohomology groups H*(U) of the complement U = P^2\C of C.

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