Vanishing homology of projective hypersurfaces with 1-dimensional singularities
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 , and moreover determine the ranks of the nontrivial homology groups. These two groups depend on the monodromy at special points of and on the effect of the monodromy of the local system over its complement.
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