A remark on the irregularity complex

Abstract

We prove that, for a good meromorphic flat bundle with poles along a divisor with normal crossings, the restriction of the irregularity complex to each natural stratum of this divisor only depends on the formal flat bundle along this stratum. This answers a question raised by J.-B. Teyssier. This version takes into account the published erratum.

14 pages. V2: 17 pages, revised version, Section 2 added, new proof of Prop. 1.1, various improvements. V3 takes into account the published erratum

References in corpus (3)

• Good formal structure for meromorphic flat connections on smooth projective surfaces
• A remark on the irregularity complex
• Skeletons and moduli of Stokes torsors

Cited by in corpus (2)

• A remark on the irregularity complex
• Cohomological boundedness for flat bundles on surfaces and applications