English

Rigid irregular connections on P^1

Algebraic Geometry 2014-01-14 v2

Abstract

N.Katz's middle convolution algorithm provides a description of rigid connections on the projective line with regular singularities. We extend the algorithm by adding the Fourier transform to it. The extended algorithm provides a description of rigid connections with arbitrary singularities.

Keywords

Cite

@article{arxiv.0808.0742,
  title  = {Rigid irregular connections on P^1},
  author = {D. Arinkin},
  journal= {arXiv preprint arXiv:0808.0742},
  year   = {2014}
}

Comments

17 pages. Minor corrections, final version. To appear in Compositio Mathematica

R2 v1 2026-06-21T11:07:53.567Z