English

Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere

Algebraic Geometry 2015-06-26 v2

Abstract

We show that the Fourier-Laplace transform of an irreducible regular differential system on the Riemann sphere underlies, when one only considers the part at finite distance, a polarizable regular twistor D\mathcal{D}-module. The associated holomorphic bundle out of the origin is therefore equipped with a natural harmonic metric with a tame behaviour near the origin.

Keywords

Cite

@article{arxiv.math/0408294,
  title  = {Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere},
  author = {Claude Sabbah},
  journal= {arXiv preprint arXiv:math/0408294},
  year   = {2015}
}

Comments

13+11 pages, AMSlatex. Original version followed by an Erratum added may 2007 after publication