English

Riemann-Hilbert problems with constraints

Complex Variables 2018-08-22 v5

Abstract

This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in terms of certain indices. As an application, we show how such results may be used to construct analytic discs attached to singular manifolds.

Keywords

Cite

@article{arxiv.1407.3709,
  title  = {Riemann-Hilbert problems with constraints},
  author = {Florian Bertrand and Giuseppe Della Sala},
  journal= {arXiv preprint arXiv:1407.3709},
  year   = {2018}
}

Comments

10 pages

R2 v1 2026-06-22T05:03:39.911Z