On the differentiable structure of certain algebraic surfaces
A. Van de Ven (1985-1986)
Séminaire Bourbaki
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A. Van de Ven (1985-1986)
Séminaire Bourbaki
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A. Van de Ven (1976-1977)
Séminaire Bourbaki
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Bernd Kreußler, Herbert Kurke (1992)
Compositio Mathematica
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Ozsváth, Peter, Szabó, Zoltán (2000)
Annals of Mathematics. Second Series
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Smith, Ivan (1999)
Geometry & Topology
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Michael F. Atiyah (1971)
Annales scientifiques de l'École Normale Supérieure
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Konrad Schöbel (2008)
Annales de l’institut Fourier
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We describe explicitly the moduli spaces of polystable holomorphic structures with on a rank two vector bundle with and for all minimal class VII surfaces with and with respect to all possible Gauduchon metrics . These surfaces are non-elliptic and non-Kähler complex surfaces and have recently been completely classified. When is a half or parabolic Inoue surface, is always a compact one-dimensional complex disc. When is an Enoki surface, one obtains a complex...
Indranil Biswas (1997)
Annales de l'institut Fourier
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The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.