Parabolic bundles and spherical metrics

Autor: de Borbon, Martin, Panov, Dmitri
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We use the Kobayashi-Hitchin correspondence for parabolic bundles to reprove the results of Troyanov and Luo-Tian regarding existence and uniqueness of conformal spherical metrics on the Riemann sphere with prescribed cone angles in the interval $(0, 2\pi)$ at a given configuration of three or more points.
Comment: 10 pages
Databáze: arXiv