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25
Kpolystability of QFano varieties admitting KählerEinstein metrics
, 2012
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Extremal Kähler metrics on projective bundles over a curve
, 2009
"... Let M = P(E) be the complex manifold underlying the total space of the projectivization of a holomorphic vector bundle E → Σ over a compact complex curve Σ of genus ≥ 2. We prove that M admits a Kähler metric of constant scalar curvature if and only if E is polystable. We also address the more gener ..."
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Cited by 16 (1 self)
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Let M = P(E) be the complex manifold underlying the total space of the projectivization of a holomorphic vector bundle E → Σ over a compact complex curve Σ of genus ≥ 2. We prove that M admits a Kähler metric of constant scalar curvature if and only if E is polystable. We also address the more general existence problem of extremal Kähler metrics on such bundles and prove that the splitting of E as a direct sum of stable subbundles is necessary and sufficient condition for the existence of extremal Kähler metrics in sufficiently small Kähler classes.
Compact Moduli Spaces of Del Pezzo Surfaces and KählerEinstein metrics
, 2015
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Constant scalar curvature Kähler metric and Kenergy
, 910
"... ABSTRACT: Based on Donaldson’s method, we prove that, for an integral Kähler class, when ..."
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ABSTRACT: Based on Donaldson’s method, we prove that, for an integral Kähler class, when