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Hypersurface Singularities and the Swing

Lê Dũng Tráng·David B. Massey
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Abstract

Suppose that $f$ defines a singular, complex affine hypersurface. If the critical locus of $f$ is one-dimensional, we obtain new general bounds on the ranks of the homology groups of the Milnor fiber of $f$. This result has an interesting implication on the structure of the vanishing cycles in the category of perverse sheaves.

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Lê Dũng Tráng, David B. Massey. 2005-02-07. Hypersurface Singularities and the Swing. https://arxiv.org/abs/math/0411432

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