Bernstein polynomials and spectral numbers for linear free divisors

Christian Sevenheck[1]

  • [1] Universität Mannheim Lehrstuhl für Mathematik VI Seminargebäude A5 68131 Mannheim (Germany)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 1, page 379-400
  • ISSN: 0373-0956

Abstract

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We discuss Bernstein polynomials of reductive linear free divisors. We define suitable Brieskorn lattices for these non-isolated singularities, and show the analogue of Malgrange’s result relating the roots of the Bernstein polynomial to the residue eigenvalues on the saturation of these Brieskorn lattices.

How to cite

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Sevenheck, Christian. "Bernstein polynomials and spectral numbers for linear free divisors." Annales de l’institut Fourier 61.1 (2011): 379-400. <http://eudml.org/doc/219678>.

@article{Sevenheck2011,
abstract = {We discuss Bernstein polynomials of reductive linear free divisors. We define suitable Brieskorn lattices for these non-isolated singularities, and show the analogue of Malgrange’s result relating the roots of the Bernstein polynomial to the residue eigenvalues on the saturation of these Brieskorn lattices.},
affiliation = {Universität Mannheim Lehrstuhl für Mathematik VI Seminargebäude A5 68131 Mannheim (Germany)},
author = {Sevenheck, Christian},
journal = {Annales de l’institut Fourier},
keywords = {Brieskorn lattice; Bernstein polynomial; linear free divisors; spectral numbers},
language = {eng},
number = {1},
pages = {379-400},
publisher = {Association des Annales de l’institut Fourier},
title = {Bernstein polynomials and spectral numbers for linear free divisors},
url = {http://eudml.org/doc/219678},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Sevenheck, Christian
TI - Bernstein polynomials and spectral numbers for linear free divisors
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 1
SP - 379
EP - 400
AB - We discuss Bernstein polynomials of reductive linear free divisors. We define suitable Brieskorn lattices for these non-isolated singularities, and show the analogue of Malgrange’s result relating the roots of the Bernstein polynomial to the residue eigenvalues on the saturation of these Brieskorn lattices.
LA - eng
KW - Brieskorn lattice; Bernstein polynomial; linear free divisors; spectral numbers
UR - http://eudml.org/doc/219678
ER -

References

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