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arXiv · 2109.10250

Parabolic bundles and spherical metrics

Martin de Borbon·Dmitri Panov
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Abstract

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.

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Martin de Borbon, Dmitri Panov. 2021-09-21. Parabolic bundles and spherical metrics. https://arxiv.org/abs/2109.10250

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