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Shôshichi Kobayashi (1987)
Differential geometry of complex vector bundles
(1968)
Hermitian vector bundles and equidistribution of the zeroes of their holomorphic cross-sections
Karen Uhlenbeck, S. Yau (1986)
On the existence of hermitian‐yang‐mills connections in stable vector bundlesCommunications on Pure and Applied Mathematics, 39
H. Umemura (1973)
Some results in the theory of vector bundlesNagoya Mathematical Journal, 52
Y. Siu (1987)
Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics: Delivered At The German Mathematical Society Seminar In Düsseldorf In June, 1986
S. Donaldson (1985)
Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector BundlesProceedings of The London Mathematical Society, 50
Dincer Guler (2012)
On Segre Forms of Positive Vector BundlesCanadian Mathematical Bulletin, 55
Vamsi Pingali (2014)
A FULLY NONLINEAR GENERALIZED MONGE-AMPÈRE PDE ON A TORUS
J. Kazdan, F. Warner (1974)
Curvature Functions for Compact 2-ManifoldsAnnals of Mathematics, 99
M. Garcia‐Fernandez (2011)
Coupled equations for Kähler metrics and Yang-Mills connectionsGeometry & Topology, 17
Christophe Mourougane, S. Takayama (2005)
Hodge metrics and positivity of direct images, 2007
Dincer Guler (2006)
Chern forms of positive vector bundles
W. Fulton, R. Lazarsfeld (1983)
Positive polynomials for ample vector bundlesAnnals of Mathematics, 118
YT Siu (1987)
Lectures on Hermitian–Einstein Metrics for Stable Bundles and Kähler–Einstein Metrics
S. Bloch, D. Gieseker (1971)
The positivity of the Chern classes of an ample vector bundleInventiones mathematicae, 12
B. Berndtsson (2005)
Curvature of vector bundles associated to holomorphic fibrationsAnnals of Mathematics, 169
O. García-Prada (1993)
Invariant connections and vorticesCommunications in Mathematical Physics, 156
F. Campana, H. Flenner (1990)
A characterization of ample vector bundles on a curveMathematische Annalen, 287
Simone Diverio (2015)
Segre forms and Kobayashi–Lübke inequalityMathematische Zeitschrift, 283
S. Yau (1978)
On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*Communications on Pure and Applied Mathematics, 31
In this paper we look at two naturally occurring situations where the following question arises. When one can find a metric so that a Chern–Weil form can be represented by a given form? The first setting is semi-stable Hartshorne-ample vector bundles on complex surfaces where we provide evidence for a conjecture of Griffiths by producing metrics whose Chern forms are positive. The second scenario deals with a particular rank-2 bundle (related to the vortex equations) over a product of a Riemann surface and the sphere.
Mathematische Zeitschrift – Springer Journals
Published: May 15, 2017
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