English

Sequences of stable bundles over a compact complex surface

alg-geom 2008-02-03 v1 Algebraic Geometry

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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Cite

@article{arxiv.alg-geom/9505005,
  title  = {Sequences of stable bundles over a compact complex surface},
  author = {Nicholas P. Buchdahl},
  journal= {arXiv preprint arXiv:alg-geom/9505005},
  year   = {2008}
}

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R2 v1 2026-07-22T07:41:47.179Z