Good formal structure for meromorphic flat connections on smooth projective surfaces

Abstract

We prove the algebraic version of a conjecture of C. Sabbah on the existence of the good formal structure for meromorphic flat connections on surfaces after some blow up.

References in corpus (2)

• Structure des connexions méromorphes formelles de plusieurs variables et semi-continuité de l'irrégularité
• Nonabelian Hodge Theory in Characteristic p

Cited by in corpus (6)

• Introduction to Stokes structures
• Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials
• A remark on the irregularity complex
• Integrable deformations and degenerations of some irregular singularities
• Homotopy theory of Stokes data
• Kashiwara conjugation and the enhanced Riemann-Hilbert correspondence