Relative K-polystability of projective bundles over a curve

Autor:	Apostolov, Vestislav, Keller, Julien
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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 K\"ahler 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. Comment: 32 pages. References updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.08507 Zobrazit plný text záznamu View this record from Arxiv