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A. Némethi and J.H.M. Steenbrink
Spectral Pairs, Mixed Hodge Modules, and Series of Plane Curve Singularities
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| Published: |
August 16, 1995 |
| Keywords: |
singularity spectrum, series of singularities |
| Subject: |
14B, 14C |
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Abstract
We consider a mixed Hodge module
M on a normal
surface singularity (X,x) and a holomorphic function germ f:(X,x) →
(C,0). For the case that M has an abelian local monodromy
group, we give a formula for the spectral pairs of f with values in
M. This result is applied to generalize the Sebastiani-Thom formula
and to describe the behaviour of spectral pairs in series of singularities.
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| Acknowledgements
A. Némethi was supported by the Netherlands Organisation for the Advancement of Scientific Research N.W.O.
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| Author information
A. Némethi:
Department of Mathematics, The Ohio State University, Columbus, OH 43210, U.S.A
nemethi@math.ohio-state.edu
J.H.M. Steenbrink:
Department of Mathematics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands
steenbri@sci.kun.nl
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