Irregularity and the period determinant for irregular singular connections on surfaces

DOI10.1002/mana.200710042zbMath1200.14040OpenAlexW2028228144MaRDI QIDQ3585616

Marco Hien

Publication date: 20 August 2010

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

Full work available at URL: https://doi.org/10.1002/mana.200710042

zbMATH Keywords

irregularityperiodsmeromorphic de Rham cohomology

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (1)

Quadratic relations between periods of connections

Cites Work

• Unnamed Item
• The stability of the Euler characteristic for Hilbert complexes
• Asymptotic analysis for integrable connections with irregular singular points
• Periods for flat algebraic connections
• Periods for irregular singular connections on surfaces
• Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann. (The comparison theorem between de Rham cohomologies and the Riemann existence theorem)
• \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
• Differential equations with irregular singular points in dimension two
• Confluent hypergeometric functions and wild ramification
• The generalized confluent hypergeometric functions
• Homology for irregular connections
• Equations différentielles à points singuliers réguliers
• Irregularity of an analogue of the Gauss-Manin systems
• Confluence of cycles for hypergeometric functions on 𝑍_{2,𝑛+1}

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