Motivic Milnor fiber at infinity and composition with a non-degenerate polynomial

DOI10.5802/aif.2739zbMath1266.14008OpenAlexW2323327111MaRDI QIDQ1931239

Michel Raibaut

Publication date: 25 January 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.2739

zbMATH Keywords

convolutionvanishing cyclesNewton polyhedronsingularities at infinitymotivic Milnor fibernearby cyclesmotivic zeta-functionlog-resolutionsThom-Sébastiani formula

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Milnor fibration; relations with knot theory (32S55) Affine fibrations (14R25) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Arcs and motivic integration (14E18)

Related Items (1)

Newton transformations and motivic invariants at infinity of plane curves

Cites Work

• Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves
• Variation of mixed Hodge structure. I
• A motivic Milnor fiber at infinity.
• Polyedres de Newton et nombres de Milnor
• Germs of arcs on singular algebraic varieties and motivic integration
• Monodromy at infinity and Fourier transform
• Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I.
• On motivic zeta functions and the motivic nearby fiber
• Arc spaces and Alexander invariants
• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
• Théorie de Hodge. III
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Singularités à l’infini et intégration motivique
• Monodromy at Infinity of Polynomial Maps and Newton Polyhedra (with an Appendix by C. Sabbah)
• Mixed Hodge modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Motivic Milnor fiber at infinity and composition with a non-degenerate polynomial