# The local cohomology of the jacobian ring

@inproceedings{Sernesi2014TheLC, title={The local cohomology of the jacobian ring}, author={Edoardo Sernesi}, year={2014} }

- Published 2014

We study the 0-th local cohomology module H m (R(f)) of the jacobian ring R(f) of a singular reduced complex projective hypersurface X, by relating it to the sheaf of logarithmic vector fields along X. We investigate the analogies between H m (R(f)) and the well known properties of the jacobian ring of a nonsingular hypersurface. In particular we study self-duality, Hodge theoretic and Torelli type questions for H m (R(f)).

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