On the Gauss-Manin connection of an isolated hypersurface singularity

DOI10.1007/BF01351450zbMath0409.32004MaRDI QIDQ1258856

John Scherk

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163178

zbMATH Keywords

Isolated Hypersurface SingularityMonodromy for An Analytic FunctionResidue of the Gaus-Manin Connection

Mathematics Subject Classification ID

Local complex singularities (32S05) Other connections (53B15) Complex singularities (32Sxx)

Related Items

On the mixed Hodge structure on the cohomology of the Milnor fibre ⋮ Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials ⋮ On the monodromy theorem for isolated hypersurface singularities ⋮ The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities ⋮ Minimal characteristic exponent of the Gauss-Manin connexion of an isolated singular point and Newton polyhedron ⋮ Computing regular meromorphic differential forms via Saito's logarithmic residues ⋮ Asymptotic integrals and Hodge structures ⋮ Solving parametric ideal membership problems and computing integral numbers in a ring of convergent power series via comprehensive Gröbner systems ⋮ Generalized Integral Dependence Relations

Cites Work

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• Equations différentielles à points singuliers réguliers
• Intégrales asymptotiques et monodromie
• CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• Singular Points of Complex Hypersurfaces. (AM-61)
• Letter to the editors