Singularités à l’infini et intégration motivique

DOI10.24033/bsmf.2624zbMath1266.14012OpenAlexW2097792816MaRDI QIDQ2883361

Michel Raibaut

Publication date: 10 May 2012

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/140/html/smf_bull_140_51-100.php

zbMATH Keywords

Newton polyhedronmotivic Milnor fiberGrothendieck ringmotivic bifurcation set

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Milnor fibration; relations with knot theory (32S55) Deformations of complex singularities; vanishing cycles (32S30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Arcs and motivic integration (14E18)

Related Items (12)

Motivic infinite cyclic covers ⋮ Motivic Milnor fiber at infinity and composition with a non-degenerate polynomial ⋮ On a motivic invariant of the arc-analytic equivalence ⋮ Monodromies at infinity of non-tame polynomials ⋮ Geometry of nondegenerate polynomials: motivic nearby cycles and cohomology of contact loci ⋮ Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito) ⋮ On the monodromies and the limit mixed Hodge structures of families of algebraic varieties ⋮ The discriminant of a system of equations ⋮ Newton Transformations and the Motivic Milnor Fiber of a Plane Curve ⋮ Motivic Milnor fibers of a rational function ⋮ Motivic Milnor fibers of a rational function ⋮ Newton transformations and motivic invariants at infinity of plane curves

Cites Work

• Variation of mixed Hodge structure. I
• Variance of the spectral numbers and Newton polygons
• Monodromy at infinity and Fourier transform. II
• Hypergeometric periods for a tame polynomial
• A motivic Milnor fiber at infinity.
• Sur la topologie des polynômes complexes. (Topology of complex polynomials)
• Milnor numbers and the topology of polynomial hypersurfaces
• On the bifurcation set of a polynomial function and Newton boundary
• Polyedres de Newton et nombres de Milnor
• Stratifications de Whitney et théorème de Bertini-Sard
• Germs of arcs on singular algebraic varieties and motivic integration
• Topology of complex polynomials via polar curves
• Milnor fibration at infinity
• Monodromy at infinity and Fourier transform
• Sheaves in topology
• On motivic zeta functions and the motivic nearby fiber
• Hodge numbers attached to a polynomial map
• On the bifurcation set of a polynomial function and Newton boundary. II
• Arc spaces and Alexander invariants
• Singularities at infinity and their vanishing cycles
• Semicontinuity of the spectrum at infinity
• Resolution of singularities of an algebraic variety over a field of characteristic zero. II
• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
• Critical points of an algebraic function
• Théorie de Hodge. III
• On the monodromy at infinity of a polynomial map, II
• Mixed Hodge Structures
• Mixed Hodge modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Singularités à l’infini et intégration motivique