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Motivic zeta functions for prehomogeneous vector spaces and castling transformations

Published online by Cambridge University Press:  22 January 2016

François Loeser
François Loeser*
Affiliation:
École Normale Supérieure, Département de mathématiques et applications, 45 rue d’Ulm, 75230 Paris Cedex 05, France, (UMR 8553 du CNRS), Francois.Loeser@ens.fr
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Abstract

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We study the behaviour of motivic zeta functions of prehomogeneous vector spaces under castling transformations. In particular we deduce how the motivic Milnor fibre and the Hodge spectrum at the origin behave under such transformations.

Keywords

11S9014L3014L24
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 171 , 2003 , pp. 85 - 105
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

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