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João Paulo Santos

Framed holomorphic bundles on rational surfaces

We study the moduli space of framed holomorphic bundles of any rank, over the blow-up of ??² at q? points. For c₂ = 1, 2 we introduce an open cover of the moduli space and describe its nerve. In the limit when r ? ? we use this result to obtain the homotopy type of the moduli spaces. In particular, we compute the cohomology of the moduli spaces.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 12/2005
Pages: 129 - 158

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