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arXiv · 1411.2640

Vanishing homology of projective hypersurfaces with 1-dimensional singularities

Dirk Siersma·Mihai Tibar
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Abstract

We introduce and study the vanishing homology of singular projective hypersurfaces. We prove its concentration in two levels in case of 1-dimensional singular locus $\Sigma$, and moreover determine the ranks of the nontrivial homology groups. These two groups depend on the monodromy at special points of $\Sigma$ and on the effect of the monodromy of the local system over its complement.

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Dirk Siersma, Mihai Tibar. 2014-11-10. Vanishing homology of projective hypersurfaces with 1-dimensional singularities. https://doi.org/10.1007/s40879-017-0151-7

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