Title: Monodromy eigenvalues are induced by poles of zeta functions: the irreducible curve case
Authors: Némethi, András ×
Veys, Willem #
Issue Date: Feb-2010
Publisher: London Mathematical Society
Series Title: The Bulletin of the London Mathematical Society vol:42 issue:2 pages:312-322
Abstract: The ‘monodromy conjecture’ for a hypersurface singularity f predicts that a pole of its topological (or related) zeta function induces one of its monodromy eigenvalues. However, in general only a few eigenvalues are obtained this way. The second author proposed to consider zeta functions associated with the hypersurface and with a differential form and raised the following question. Can one find a list of differential forms ωi such that any pole of the zeta function of f and an ωi induces a monodromy eigenvalue of f, and such that all monodromy eigenvalues of f are obtained this way? Here we provide an affirmative answer for an arbitrary irreducible curve singularity f.
ISSN: 0024-6093
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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