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2012 | 10 | 4 | 1331-1355

Tytuł artykułu

Bubble tree compactification of moduli spaces of vector bundles on surfaces

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Abstrakty

EN
We announce some results on compactifying moduli spaces of rank 2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so-called bubbling of vector bundles and connections in differential geometry. The new moduli spaces are algebraic spaces arising as quotients by group actions according to a result of Kollár. As an example, the compactification of the space of stable rank 2 vector bundles with Chern classes c 1 = 0, c 1 = 2 on the projective plane is studied in more detail. Proofs are only indicated and will appear in separate papers.

Twórcy

  • Université Lille 1
  • Yaroslavl State Pedagogical University
  • Universität Kaiserslautern

Bibliografia

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  • [6] Feehan P.M.N., Geometry of the ends of the moduli space of anti-self-dual connections, J. Differential Geom., 1995, 42(3), 465–553
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Bibliografia

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