The Canonical Class and the  Properties of Kähler Surfaces.

Brussee, Rogier

Displaying similar documents to “The Canonical Class and the $C^{\infty}$ Properties of Kähler Surfaces.”

On the differentiable structure of certain algebraic surfaces

A. Van de Ven (1985-1986)

Séminaire Bourbaki

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Some recent results on surfaces of general type

A. Van de Ven (1976-1977)

Séminaire Bourbaki

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Twistor spaces over the connected sum of 3 projective planes

Bernd Kreußler, Herbert Kurke (1992)

Compositio Mathematica

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The symplectic Thom conjecture.

Ozsváth, Peter, Szabó, Zoltán (2000)

Annals of Mathematics. Second Series

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Lefschetz fibrations and the Hodge bundle.

Smith, Ivan (1999)

Geometry & Topology

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Riemann surfaces and spin structures

Michael F. Atiyah (1971)

Annales scientifiques de l'École Normale Supérieure

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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...

Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space

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.

Displaying similar documents to “The Canonical Class and the C ∞ Properties of Kähler Surfaces.”

Displaying similar documents to “The Canonical Class and the $C^{\infty}$ Properties of Kähler Surfaces.”