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Polar curves, resolution of singularities and the filtered mixed hodge structure on the vanishing cohomology

Research-Articles Singularities

Part of the Lecture Notes in Mathematics book series (LNM,volume 1273)

Abstract

LÊ D.T., F. MICHEL and C. WEBER have obtained results which connect the polar invariants of a plane curve singularity with the Waldhausen decomposition associated to its Milnor fibration. In this paper we give proofs of most of these results and investigate the relation between the polar filtration of the Milnor fibre and the mixed Hodge structure on its cohomology.

Keywords

  • Polar Curve
  • Minimal Resolution
  • Normal Crossing
  • Polar Filtration
  • Mixed Hodge Structure

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1987 Springer-Verlag

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Steenbrink, J., Zucker, S. (1987). Polar curves, resolution of singularities and the filtered mixed hodge structure on the vanishing cohomology. In: Greuel, GM., Trautmann, G. (eds) Singularities, Representation of Algebras, and Vector Bundles. Lecture Notes in Mathematics, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078844

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  • DOI: https://doi.org/10.1007/BFb0078844

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18263-4

  • Online ISBN: 978-3-540-47851-5

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