Hypersurface Singularities and the Swing

Details Hypersurface Singularities and the Swing Hypersurface Singularities and the Swing

2004-11-19

arxiv.org/abs/math/0411432v4

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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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