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The Donaldson-Hitchin-Kobayashi Correspondence for Parabolic Bundles over Orbifold Surfaces

Published online by Cambridge University Press:  20 November 2018

Brian Steer  and
Andrew Wren
Brian Steer
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford OX1 3LB, UK
Andrew Wren
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford OX1 3LB, UK
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Abstract

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A theorem of Donaldson on the existence of Hermitian-Einstein metrics on stable holomorphic bundles over a compact Kähler surface is extended to bundles which are parabolic along an effective divisor with normal crossings. Orbifold methods, together with a suitable approximation theorem, are used following an approach successful for the case of Riemann surfaces.

Keywords

14J1757R57
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 53 , Issue 6 , 01 December 2001 , pp. 1309 - 1339
Copyright
Copyright © Canadian Mathematical Society 2001

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