A differential form approach to the genus of Open Riemann surfaces
Complex Variables
2019-03-15 v1 Differential Geometry
Geometric Topology
Abstract
We will show that any open Riemann surface of finite genus is biholomorphic to an open set of a compact Riemann surface. Moreover, we will introduce a quotient space of forms in that determines if has finite genus and also the minimal genus where can be holomorphically embedded.
Keywords
Cite
@article{arxiv.1903.06131,
title = {A differential form approach to the genus of Open Riemann surfaces},
author = {Franco Vargas Pallete and Jesus Zapata Samanez},
journal= {arXiv preprint arXiv:1903.06131},
year = {2019}
}
Comments
10 pages, comments welcome