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• W2247676103 abstract "We give lower bounds for the degree of the syzygies involving the partial derivatives of a homogeneous polynomial defining an even dimensional nodal hypersurface. This implies the validity of formulas due to M. Saito, L. Wotzlaw and the author for the graded pieces with respect to the Hodge filtration of the top cohomology of the hypersurface complement in many new cases. A classical result by Severi on the position of the singularities of a nodal surface in $$mathbb {P}^3$$ is improved and applications to deformation theory of nodal surfaces are given." @default.
• W2247676103 created "2016-06-24" @default.
• W2247676103 creator A5032437224 @default.
• W2247676103 date "2017-03-17" @default.
• W2247676103 modified "2023-09-25" @default.
• W2247676103 title "On the syzygies and Hodge theory of nodal hypersurfaces" @default.
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• W2247676103 doi "https://doi.org/10.1007/s11565-017-0278-y" @default.
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