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

Joseph Steenbrink
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Abstract

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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Joseph Steenbrink. 2004-11-18. Adjunction conditions for 1-forms on surfaces in projective three-space. https://arxiv.org/abs/math/0411405

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