Relative K-polystability of projective bundles over a curve

Vestislav Apostolov, Julien Keller

Type: Article

Publication Date: 2018-06-27

Citations: 2

DOI: https://doi.org/10.1090/tran/7556

Abstract

Let $P(E)$ be the projectivization of a holomorphic vector bundle $E$ over a compact complex curve $C$. We characterize the existence of an extremal Kähler metric on the ruled manifold $P(E)$ in terms of relative K-polystability and the fact that $E$ decomposes as a direct sum of stable bundles.

Locations

arXiv (Cornell University) - View - PDF
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Transactions of the American Mathematical Society - View

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+ PDF Chat	The Chern Classes and Kodaira Dimension of a Minimal Variety	2018	Yoichi Miyaoka
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+ PDF Chat	Remarks on extremal Kähler metrics on ruled manifolds	1992	Akira Fujiki
+ PDF Chat	Constant Hermitian scalar curvature equations on ruled manifolds	1999	Ying-Ji Hong
+ PDF Chat	An obstruction to the existence of constant scalar curvature Kähler metrics	2006	Julius Ross Richard P. Thomas
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+	Extremal Kähler metrics on projective bundles over a curve	2011	Vestislav Apostolov David M. J. Calderbank Paul Gauduchon Christina W. Tønnesen-Friedman