Adjunction conditions for 1-forms on surfaces in projective three-space

Details Adjunction conditions for 1-forms on surfaces in projective three-space Adjunction conditions for 1-forms on surfaces in projective three-space

2004-11-18

arxiv.org/abs/math/0411405v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

We study the relation between a certain graded part of the Jacobian ring of a
projective hypersurface and a certain graded quotient for the Hodge filtration
of its primitive cohomology, in the case that the hypersurface has at most
isolated singularities. We distinguish a class of singularities for which this
relation is best possible. The main examples refer to the surface case.

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