The determinant line bundle over moduli spaces of instantons on abelian surfaces.

Antony Maciocia

Displaying similar documents to “The determinant line bundle over moduli spaces of instantons on abelian surfaces.”

On the Normal Bundle to Abelian Surfaces Embedded in ...4 ( C ) .

Nicolae Manolache (1986)

Manuscripta mathematica

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On the strange duality conjecture for abelian surfaces

Alina Marian, Dragos Oprea (2014)

Journal of the European Mathematical Society

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We study Le Potier's strange duality conjecture for moduli spaces of sheaves over generic abelian surfaces. We prove the isomorphism for abelian surfaces which are products of elliptic curves, when the moduli spaces consist of sheaves of equal ranks and ber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.

Moduli stacks of polarized K3 surfaces in mixed characteristic

Rizov, Jordan (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...

On the Albanese variety of the moduli space of polarized K3 surfaces.

Shigeyuki Kondo (1988)

Inventiones mathematicae

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Kodaira dimensíon of moduli space of vector bundles on surfaces.

Jun Li (1994)

Inventiones mathematicae

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Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces.

Kang Zuo (1991)

Mathematische Zeitschrift

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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...