On \(b\)-function, spectrum and rational singularity
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Publication:1318047
DOI10.1007/BF01444876zbMath0788.32025MaRDI QIDQ1318047
Publication date: 23 March 1994
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165031
Other functions defined by series and integrals (33E20) Divisors, linear systems, invertible sheaves (14C20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)
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Cites Work
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Some local consequences of Hodge theory
- Relative vanishing theorems in analytic spaces
- Higher direct images of dualizing sheaves. I
- Exponents and Newton polyhedra of isolated hypersurface singularities
- On the structure of Brieskorn lattice
- La conjecture de Weil. II
- The complex exponent of a singularity does not change along strata mu=const
- On the maximally overdetermined system of linear differential equations. I
- B-functions and holonomic systems. Rationality of roots of B-functions
- On the holonomic systems of linear differential equations. II
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
- Dualité relative en géométrie analytique complexe
- Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières
- Mixed Hodge modules
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
