Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces.
Kang Zuo (1991)
Mathematische Zeitschrift
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Kang Zuo (1991)
Mathematische Zeitschrift
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Dimitri Markushevich, Alexander Tikhomirov, Günther Trautmann (2012)
Open Mathematics
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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...
Michael Schneider (1978-1979)
Séminaire Bourbaki
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Edoardo Ballico (1994)
Forum mathematicum
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Edoardo Ballico, Luca Chiantini (1992)
Forum mathematicum
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Huashi Xia (1995)
Compositio Mathematica
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Daniel Naie (1994)
Mathematische Annalen
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Tan Xiao-Jiang (1992)
Manuscripta mathematica
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Vasile Brînzănescu, Ruxandra Moraru (2005)
Annales de l’institut Fourier
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In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Ulrich Schlickewei (2010)
Rendiconti del Seminario Matematico della Università di Padova
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