%0 Journal Article
%T About canonical Kähler metrics on Mumford semistable projective bundles over a curve
%+ Institut de Mathématiques de Marseille (I2M)
%A Keller, Julien
%Z 16 pages
%< avec comité de lecture
%@ 0024-6107
%J Journal of the London Mathematical Society
%I London Mathematical Society ; Wiley
%V 93
%N 1
%P 159–174
%8 2016-02-01
%D 2016
%Z 1407.7062
%R 10.1112/jlms/jdv066
%K conic singularity
%K K-stability
%K vector bundle
%K Chow stability
%K stability
%K projective bundles
%K ruled manifold
%K balanced
%K Kahler metric
%Z 14J26, 14L24, 58E11, 53C07
%Z Mathematics [math]/Differential Geometry [math.DG]
%Z Mathematics [math]/Complex Variables [math.CV]
%Z Mathematics [math]/Algebraic Geometry [math.AG]Journal articles
%X We study the existence of canonical K\"ahler metrics on the projectivisation of strictly Mumford semistable holomorphic vector bundles over a complex curve. We also provide an algebro-geometric characterization of these metrics.
%G English
%L hal-01282553
%U https://hal.science/hal-01282553
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ AMIDEX
%~ ANR