Motivic zeta functions for prehomogeneous vector spaces and castling transformations

Details Motivic zeta functions for prehomogeneous vector spaces and castling transformations Motivic zeta functions for prehomogeneous vector spaces and castling transformations

2001-11-20

arxiv.org/abs/math/0111215v1

Nagoya Math. J. 171 (2003), 85--105.

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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.

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