English

Fourier decay, Green's kernel and Schottky groups

Geometric Topology 2023-08-29 v3

Abstract

In this note, I would like to discuss an approach to the construction of Green's function on algebraic surfaces, indicated by Manin, towards the computation of the Green's function on surfaces using Schottky uniformization. We shall see that the exact geometric interpretation of the formula mentioned there is obscure, and try to remedy the situation by investigating convergence of deformations of that formula.

Keywords

Cite

@article{arxiv.2308.11170,
  title  = {Fourier decay, Green's kernel and Schottky groups},
  author = {Ilyas Bayramov},
  journal= {arXiv preprint arXiv:2308.11170},
  year   = {2023}
}

Comments

Changed the name, completed the proof of results announced in previous versions

R2 v1 2026-06-28T12:01:04.875Z