English

Hypersurface Singularities and the Swing

Algebraic Geometry 2007-05-23 v4

Abstract

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

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Cite

@article{arxiv.math/0411432,
  title  = {Hypersurface Singularities and the Swing},
  author = {Lê Dũng Tráng and David B. Massey},
  journal= {arXiv preprint arXiv:math/0411432},
  year   = {2007}
}

Comments

11 pages