Higher cohomology triples and holomorphic extensions

Details Higher cohomology triples and holomorphic extensions Higher cohomology triples and holomorphic extensions

1995-06-20

arxiv.org/abs/alg-geom/9506014v1

Mathematics

Algebraic Geometry

contact authors at bradlow@uiuc.edu or OGPRADA@ccuam3.sdi.uam.es, AMSTeX v2.1

Scientific paper

We introduce equations for special metrics, and notions of stability for some
new types of augmented holomorphic bundles. These new examples include
holomorphic extensions, and in this case we prove a Hitchin-Kobayashi
correspondence between a certain deformation of the Hermitian-Einstein
equations and our definition of stability for an extension.

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