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arxiv: 1407.7062 · v1 · pith:TLP2WFMMnew · submitted 2014-07-25 · 🧮 math.DG · math.AG

About projectivisation of Mumford semistable bundles over a curve

classification 🧮 math.DG math.AG
keywords bundlescurvemetricsmumfordprojectivisationsemistableahleralgebro-geometric
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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.

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