\(\nabla\)-Poincaré's lemma and \(\nabla\)-de Rham cohomology for an integrable connection with irregular singular points

DOI10.3792/pjaa.59.150zbMath0533.32005OpenAlexW1974422796WikidataQ114023248 ScholiaQ114023248MaRDI QIDQ789574

Hideyuki Majima

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.150

zbMATH Keywords

integrable connection with irregular singular pointssheaf of germs of meromorphic p-forms

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) de Rham cohomology and algebraic geometry (14F40) Connections (general theory) (53C05) Local complex singularities (32S05) Complex singularities (32Sxx)

Related Items

PFAFFIAN SYSTEMS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES, Quadratic relations for confluent hypergeometric functions, \(\nabla\)-Poincaré's lemma and \(\nabla\)-de Rham cohomology for an integrable connection with irregular singular points, Vanishing theorems in asymptotic analysis, Vanishing theorems in asymptotic analysis. II

Cites Work

• \(\nabla\)-Poincaré's lemma and \(\nabla\)-de Rham cohomology for an integrable connection with irregular singular points
• Vanishing theorems in asymptotic analysis
• Sur les points singuliers des équations différentielles
• Analytic theory of linear differential equations
• Equations différentielles à points singuliers réguliers
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• On the De Rham cohomology of algebraic varieties
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