Some local consequences of Hodge theory

DOI10.5802/aif.999zbMath0862.32020OpenAlexW1963980498MaRDI QIDQ677180

François Loeser

Publication date: 2 April 1997

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_1_75_0

zbMATH Keywords

singularitiesBernstein-Sato polynomialmixed Hodge structure

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Local complex singularities (32S05) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

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Jumping coefficients of multiplier ideals, Une estimation asymptotique du nombre de solutions approchées d'une équation p-adique. (Asymptotic estimation of the number of approximate solutions of a p-adic equation), Monodromy eigenvalues and zeta functions with differential forms, Bernstein-Sato Polynomials in Commutative Algebra, Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function, A generalization of Griffiths's theorem on rational integrals, Volume de tubes autour de singularités. (On the volume of tubes around singularities), Archimedean zeta functions and oscillatory integrals, Poles of the complex zeta function of a plane curve, À propos de la forme hermitienne canonique d'une singularité isolée d'hypersurface, Newton polyhedron and \(f^ s_ +\) distribution. II, Multiplier ideals, 𝑉-filtration, and spectrum, Oscillating integrals and Newton polyhedra, On \(b\)-function, spectrum and rational singularity

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