Modules d'Alexander et \({\mathcal D}\)-modules. (Alexander modules and \({\mathcal D}\)-modules)

DOI10.1215/S0012-7094-90-06030-2zbMath0715.14007MaRDI QIDQ752105

Claude Sabbah

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

vanishing cyclesNewton polyhedronfandifferential systemAlexander modulesholonomic \({\mathcal D}\)-modules

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items

Monodromy conjecture for log generic polynomials, Non-abelian Mellin transformations and applications, Nearby cycles and Alexander modules of hypersurface complements, Cycles évanescents, spécialisation et \({\mathcal D}\)-modules. (Nearby cycles, specialization and \({\mathcal D}\)-modules.), Alexander polynomials and Poincaré series of sets of ideals, The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors, Reidemeister torsion, peripheral complex and Alexander polynomials of hypersurface complements, On the homology of finite abelian coverings, Zeta function of degenerate plane curve singularity, Characteristic varieties of hypersurface complements, Local systems on analytic germ complements, Zero loci of Bernstein-Sato ideals, \(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals, Bernstein-Sato ideals and local systems, Motivic zeta functions for prehomogeneous vector spaces and castling transformations, Cremona Transformations of Weighted Projective Planes, Zariski Pairs, and Rational Cuspidal Curves, Alexander modules, Mellin transformation and variations of mixed Hodge structures

Cites Work

• Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983)
• Sur les images directes de \({\mathcal D}\)-modules
• The asymptotic behavior of a variation of polarized Hodge structure
• A duality theorem for Reidemeister torsion
• Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces
• Alexander ideals of links
• Chern classes for singular algebraic varieties
• La fonction zeta d'une monodromie
• On the holonomic systems of linear differential equations. II
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Théorie de Hodge. III
• On the Alexander polynomial
• Sur la condition de Thom stricte pour un morphisme analytique complexe
• Polyhedral Resolutions of Algebraic Varieties
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• THE GEOMETRY OF TORIC VARIETIES
• Flattening Theorem in Complex-Analytic Geometry
• Singular Points of Complex Hypersurfaces. (AM-61)
• Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants
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