# Koszul complexes and spectra of projective hypersurfaces with isolated singularities

@article{Dimca2012KoszulCA, title={Koszul complexes and spectra of projective hypersurfaces with isolated singularities}, author={Alexandru Dimca and Morihiko Saito}, journal={arXiv: Algebraic Geometry}, year={2012} }

For a projective hypersurface with isolated singularities, we generalize some well-known results in the nonsingular case due to Griffiths, Scherk, Steenbrink, Varchenko, and others. They showed, for instance, a relation between the mixed Hodge structure on the vanishing cohomology and the Gauss-Manin system filtered by shifted Brieskorn lattices of a defining homogeneous polynomial by using the V-filtration of Kashiwara and Malgrange. Numerically this implied an identity between the Steenbrink… Expand

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