Remarks on rigid irreducible meromorphic connections on the projective line
DOI10.4171/dm/937arXiv2212.07746OpenAlexW4311726549MaRDI QIDQ6188866
Publication date: 12 January 2024
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.07746
irreduciblequasi-unipotentrigidStokes filtrationexponential-geometric originmeromorphic bundle with connection
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
Cites Work
- Unnamed Item
- Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules
- Introduction to Stokes structures
- Hypergeometric periods for a tame polynomial
- Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
- Calculation of local Fourier transforms for formal connections
- Differential equations with polynomial coefficients
- Cohomologically rigid local systems and integrality
- Calculation of local formal Fourier transforms
- \(\mathbb{C}\)-constructible enhanced ind-sheaves
- Topological computation of some Stokes phenomena on the affine line
- Hodge theory of the middle convolution
- Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
- Holonomic D-Modules with Betti Structures
- Rigid local systems and motives of typeG2. With an appendix by Michale Dettweiler and Nicholas M. Katz
- An explicit stationary phase formula for the local formal Fourier-Laplace transform
- Integral representations for solutions of exponential Gauß-Manin systems
- Rigid Local Systems. (AM-139)
- Rigid irregular connections on ℙ1
- Irregular Hodge theory
- Classification of rigid irregular G2‐connections
- Irregular perverse sheaves
- Stokes Matrices for Confluent Hypergeometric Equations
- Curve test for enhanced ind-sheaves and holonomic $D$-modules, I
- Betti Structures of Hypergeometric Equations
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