About canonical Kähler metrics on Mumford semistable projective bundles over a curve (Q2793764)

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scientific article; zbMATH DE number 6557357
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About canonical Kähler metrics on Mumford semistable projective bundles over a curve
scientific article; zbMATH DE number 6557357

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    About canonical Kähler metrics on Mumford semistable projective bundles over a curve (English)
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    17 March 2016
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    canonical Kähler metrics
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    Mumford semistable vector bundles
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    parabolic structures
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    The author studies the existence of canonical Kähler metrics on the projectivization of strictly Mumford semistable vector bundles over a curve.NEWLINENEWLINENEWLINEThe author focuses on the particular case of a ruled surface given by the projectivization of a Mumford semistable vector bundle (which is not stable) over a Riemann surface of genus \(g\geq 2\). Some partial generalizations are given for higher-dimensional base.
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