English

An explicit stationary phase formula for the local formal Fourier-Laplace transform

Algebraic Geometry 2011-01-04 v2 Complex Variables

Abstract

We give an explicit formula (i.e., a formal stationary phase formula) for the local Fourier-Laplace transform of a formal germ of meromorphic connection of one complex variable with a possibly irregular singularity. This is a complex analogue of the formulas in the preprint math/0702436v1.

Keywords

Cite

@article{arxiv.0706.3570,
  title  = {An explicit stationary phase formula for the local formal Fourier-Laplace transform},
  author = {Claude Sabbah},
  journal= {arXiv preprint arXiv:0706.3570},
  year   = {2011}
}

Comments

22 pages, LaTeX file. Revised version to be published in the Proceedings of the School and Workshop on the Geometry and Topology of Singularities (L^e Fest). Few typos corrected and few remarks added