On an irregular analogue of the Gauss-Manin connection

DOI10.5802/afst.924zbMath0965.32020OpenAlexW2315140415MaRDI QIDQ1576399

Fayçal Maaref

Publication date: 5 August 2001

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1999_6_8_1_117_0

zbMATH Keywords

monodromy\({\mathcal D}\)-moduleMilnor fibrationpolynomial mappingGauss-Manin connection

Mathematics Subject Classification ID

Milnor fibration; relations with knot theory (32S55) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

The irregularity of the direct image of some \({\mathcal D}\)-modules ⋮ Integral representations for solutions of exponential Gauß-Manin systems ⋮ Irregularity of an analogue of the Gauss-Manin systems

Cites Work

• Cohomology of sheaves
• Singularités des systèmes différentiels de Gauss-Manin. Avec des contributions de Lo Kam Chan, Philippe Maisonobe et Jean-Etienne Rombaldi
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• On the comparison theorem for elementary irregular D-modules
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