Numerical invariants for bundles on blow-ups

Details Numerical invariants for bundles on blow-ups Numerical invariants for bundles on blow-ups

1999-06-26

arxiv.org/abs/math/9906179v1

Mathematics

Algebraic Geometry

Scientific paper

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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