Motivic zeta functions for prehomogeneous vector spaces and castling transformations

DOI10.1017/S0027763000025526zbMath1048.11095arXivmath/0111215OpenAlexW1515592370MaRDI QIDQ4457780

François Loeser

Publication date: 17 March 2004

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111215

zbMATH Keywords

prehomogeneous vector spaceszeta functions

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Milnor fibration; relations with knot theory (32S55) Prehomogeneous vector spaces (11S90)

Cites Work

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• ASYMPTOTIC HODGE STRUCTURE IN THE VANISHING COHOMOLOGY
• Local Zeta Functions of Certain Prehomogeneous Vector Spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Mixed Hodge modules

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