English

Calculation of local formal Fourier transforms

Algebraic Geometry 2011-07-19 v2

Abstract

We calculate the local Fourier transforms for connections on the formal punctured disk, corroborating the results of J. Fang and C. Sabbah using a different method. Our method is similar to Fang's, but more direct.

Cite

@article{arxiv.1011.3525,
  title  = {Calculation of local formal Fourier transforms},
  author = {Adam Graham-Squire},
  journal= {arXiv preprint arXiv:1011.3525},
  year   = {2011}
}

Comments

Added references, corrected lemma and added a case to proof of theorem, added clarity in proof of (13) implies (14) from version 1, fixed typos

R2 v1 2026-06-21T16:44:12.186Z