Rigid irregular connections on ℙ1

DOI10.1112/S0010437X09004680zbMath1200.14035arXiv0808.0742OpenAlexW3101429524MaRDI QIDQ4930559

Dima Arinkin

Publication date: 29 September 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0742

zbMATH Keywords

Fourier transformirregular singularitiesrigid connectionsKatz's middle convolution algorithm

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (15)

Euphotic representations and rigid automorphic data ⋮ Middle convolution and Harnad duality ⋮ Wildly ramified rigid G2$G_2$‐local systems ⋮ Remarks on rigid irreducible meromorphic connections on the projective line ⋮ An example of the Langlands correspondence for irregular rank two connections on \(\mathbb P^1\) ⋮ Hodge theory of the middle convolution ⋮ Linear differential equations on \(\mathbb P^1\) and root systems ⋮ Moduli spaces of meromorphic connections and quiver varieties ⋮ Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature ⋮ On Additive Deligne–Simpson Problems ⋮ A microlocal approach to the enhanced Fourier-Sato transform in dimension one ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Holonomic \(\mathcal D\)-modules and positive characteristic ⋮ IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS ⋮ Siegel's problem for \(E\)-functions of order 2

Cites Work

• Katz's middle convolution algorithm
• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules

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