PARABOLIC BUNDLES AND SPHERICAL METRICS

Martin de Borbon; Dmitri Panov

doi:10.1090/proc/16052

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Martin de Borbon, Dmitri Panov

Original language	English
Pages (from-to)	5459-5472
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	12
Early online date	23 Sep 2022
DOIs	https://doi.org/10.1090/proc/16052
E-pub ahead of print	23 Sep 2022
Published	1 Dec 2022
Additional links	Link to publication in Scopus

Bibliographical note

Funding Information: Received by the editors September 27, 2021, and, in revised form, February 18, 2022. 2020 Mathematics Subject Classification. Primary 57M50, 32L05; Secondary 34M35, 53C45, 32S65. This work was supported by EPSRC Project EP/S035788/1, Kähler manifolds of constant curvature with conical singularities. Publisher Copyright: © 2022 American Mathematical Society.

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Dmitri Panov (Mathematics, Geometry)

Abstract

We use the Kobayashi-Hitchin correspondence for parabolic bundles to reprove the results of Troyanov [Trans. Amer. Math. Soc. 324 (1991), pp. 793-821] and Luo-Tian [Proc. Amer. Math. Soc. 116 (1992), pp. 1119-1129] regarding existence and uniqueness of conformal spherical metrics on the Riemann sphere with prescribed cone angles in the interval (0, 2π) at a given configuration of three or more points.

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