Contribution effective de la monodromie aux développements asymptotiques

DOI10.24033/asens.1473zbMath0542.32003OpenAlexW649178764MaRDI QIDQ3329736

Daniel Barlet

Publication date: 1984

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1984_4_17_2_293_0

zbMATH Keywords

monodromyasymptotic expansionsBernstein-Sato polynomialgerm of a non constant holomorphic functionmeromorphic extension of distributions

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Germs of analytic sets, local parametrization (32B10) Local complex singularities (32S05) Integration on analytic sets and spaces, currents (32C30) Complex singularities (32Sxx)

Related Items (17)

Monodromy eigenvalues and zeta functions with differential forms ⋮ Analytic continuation of residue currents ⋮ Interaction de strates consécutives pour les cycles évanescents ⋮ Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function ⋮ On the Brieskorn \((a,b)\)-module of an isolated hypersurface singularity ⋮ One Parameter Regularizations of Products of Residue Currents ⋮ Contribution du cup-produit de la fibre de Milnor aux pôles de \(|f|^2\lambda\) ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Poles of the complex zeta function of a plane curve ⋮ Generalized monodromy conjecture in dimension two ⋮ Monodromie et pôles du prolongement méromorphe de $\int_{X}\vert f\vert^{2\lambda}\square$ ⋮ Real isolated singularity. ⋮ POLES OF THE CURRENT |f|^2λ OVER AN ISOLATED SINGULARITY ⋮ Some local consequences of Hodge theory ⋮ Newton polyhedron and \(f^ s_ +\) distribution. II ⋮ The distribution \(|v|^\lambda\), oscillating integrals and principal value integrals ⋮ Forme hermitienne canonique sur la cohomologie de la fibre de Milnor d'une hypersurface à singularité isolée

Cites Work

• B-functions and holonomic systems. Rationality of roots of B-functions
• Développement asymptotique des fonctions obtenues par intégration sur les fibres
• Equations différentielles à points singuliers réguliers
• Singular Points of Complex Hypersurfaces. (AM-61)

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