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Numerical invariants for bundles on blow-ups

E. Ballico·E. Gasparim
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Abstract

We suggest an effective procedure to calculate numerical invariants for rank two bundles over blown-up surfaces. We study the moduli spaces M_j of bundles on the blown-up plane splitting over the exceptional divisor as O(j)+O(-j). We use the numerical invariants to give a topological decomposition of M_j.

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E. Ballico, E. Gasparim. 1999-06-26. Numerical invariants for bundles on blow-ups. https://arxiv.org/abs/math/9906179

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