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

Steer, Brian ; Wren, Andrew

Canadian journal of mathematics, Tome 53 (2001) no. 6, pp. 1309-1339

Résumé

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.

Détail

DOI : 10.4153/CJM-2001-047-x

Mots-clés : 14J17, 57R57

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