Abstract
When identified with sequences of irreducible Hermitian-Einstein connections, sequences of stable holomorphic bundles of fixed topological type and bounded degree on a compact complex surface equipped with a Gauduchon metric are shown to have strongly convergent subsequences after blowing-up and pulling-back sufficiently many times.
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Buchdahl, N.P. Sequences of stable bundles over compact complex surfaces. J Geom Anal 9, 391–428 (1999). https://doi.org/10.1007/BF02921982
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DOI: https://doi.org/10.1007/BF02921982