Holonomic D-modules with Betti structure

Abstract

We define the notion of Betti structure for holonomic D-modules which are not necessarily regular singular. We establish the fundamental functorial properties. We also give auxiliary analysis of holomorphic functions of various types on the real blow up.

References in corpus (1)

• Introduction to Stokes structures

Cited by in corpus (9)

• Introduction to Stokes structures
• Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials
• Isomonodromic Laplace Transform with Coalescing Eigenvalues and Confluence of Fuchsian Singularities
• Differential systems of pure Gaussian type
• Holonomic complexes on abelian varieties, Part I
• Integrable deformations and degenerations of some irregular singularities
• Remarks on rigid irreducible meromorphic connections on the projective line
• Stokes Structure and Direct Image of Irregular Singular $\mathcal{D}$-Modules
• Holonomic D-modules on abelian varieties