Holomorphic structures in vector bundles over complex surfaces.
Brînzănescu, Vasile (1997)
General Mathematics
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Brînzănescu, Vasile (1997)
General Mathematics
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Electronic Research Announcements of the American Mathematical Society [electronic only]
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Izu Vaisman (1988)
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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.
Ben Nasatyr, Brian Steer (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Harris, Adam
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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.