English

A remark on the irregularity complex

Algebraic Geometry 2017-10-10 v3

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.

Keywords

Cite

@article{arxiv.1609.01744,
  title  = {A remark on the irregularity complex},
  author = {Claude Sabbah},
  journal= {arXiv preprint arXiv:1609.01744},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T15:41:51.310Z