The local cohomology of the Jacobian ring
By E. Sernesi. Documenta Mathematica, 2013
65 citations recorded by the source corpus.
We study the 0-th local cohomology module of the jacobian ring of a singular reduced complex projective hypersurface X, by relating it to the sheaf of logarithmic vector field along X. We investigate the analogies between the local cohomology 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.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a7e7fba21e1e5cf0762ec6478e650ec1052fedf9
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Freeness versus maximal global Tjurina number for plane curves (2015, background): “Moreover, one has the following for E = T 〈C〉 and any integer k, see [4], [15].”