Kuranishi families for Hopf surfaces

Krzysztof Dąbrowski

Displaying similar documents to “Kuranishi families for Hopf surfaces”

Filtrable bundles of rank 2 on Hopf surfaces.

Daniel Mall (1993)

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Instantons on Hopf surfaces and monopoles on solid tori.

Peter J. Braam, Jacques Hurtubise (1989)

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Holomorphic structures in vector bundles over complex surfaces.

Brînzănescu, Vasile (1997)

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A Narasimhan-Seshardri-Donaldson Correspondance over Non-orientable Surfaces.

Shuguang Wang (1996)

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Moduli Spaces of $PU (2)$ -Instantons on Minimal Class VII Surfaces with $b_{2} = 1$

Konrad Schöbel (2008)

Annales de l’institut Fourier

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We describe explicitly the moduli spaces $ℳ_{g}^{pst} (S, E)$ of polystable holomorphic structures $ℰ$ with $det ℰ ≅ 𝒦$ on a rank two vector bundle $E$ with $c_{1} (E) = c_{1} (K)$ and $c_{2} (E) = 0$ for all minimal class VII surfaces $S$ with $b_{2} (S) = 1$ and with respect to all possible Gauduchon metrics $g$ . These surfaces $S$ are non-elliptic and non-Kähler complex surfaces and have recently been completely classified. When $S$ is a half or parabolic Inoue surface, $ℳ_{g}^{pst} (S, E)$ is always a compact one-dimensional complex disc. When $S$ is an Enoki surface, one obtains a complex...

Remarks on numerically positive line bundles on normal surfaces.

Emura, Erika, Kojima, Hideo (2010)

Beiträge zur Algebra und Geometrie

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On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering.

Daniel Mall (1992)

Mathematische Annalen

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Smooth Enriques surfaces in P4 and exceptional bundles.

Sonia Brivio (1993)

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Curvatures of surfaces associated with holomorphic functions

Richard Jerrard (1970)

Colloquium Mathematicae

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Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface.

Jeffrey, Lisa C., Kirwan, Frances C. (1995)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Vector bundles on blown-up Hopf surfaces

Matei Toma (2012)

Open Mathematics

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We show that certain moduli spaces of vector bundles over blown-up primary Hopf surfaces admit no compact components. These are the moduli spaces used by Andrei Teleman in his work on the classification of class VII surfaces.

Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces

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.