Vector bundles on blown-up Hopf surfaces

Matei Toma

Displaying similar documents to “Vector bundles on blown-up Hopf surfaces”

Vector bundles with trivial determinant and second Chern class one on some non-Kähler surfaces.

Vuletescu, Victor (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Rank-two vector bundles on Hirzebruch surfaces

Marian Aprodu, Vasile Brînzănescu, Marius Marchitan (2012)

Open Mathematics

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We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.

Bubble tree compactification of moduli spaces of vector bundles on surfaces

Dimitri Markushevich, Alexander Tikhomirov, Günther Trautmann (2012)

Open Mathematics

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We announce some results on compactifying moduli spaces of rank 2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so-called bubbling of vector bundles and connections in differential geometry. The new moduli spaces are algebraic spaces arising as quotients by group actions according to a result of Kollár. As an example, the compactification of the space of stable rank 2 vector bundles with Chern classes c...

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...

Compact moduli spaces of stable sheaves over non-algebraic surfaces.

Toma, Matei (2001)

Documenta Mathematica

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Singularity of the moduli space of stable bundles on surfaces

Tohru Nakashima (1996)

Compositio Mathematica

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The Brauer group of desingularization of moduli spaces of vector bundles over a curve

Indranil Biswas, Amit Hogadi, Yogish Holla (2012)

Open Mathematics

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Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.

The irreducible components of moduli spaces of vector bundles on surfaces.

Kieran G. O'Grady (1993)

Inventiones mathematicae

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K3 surfaces: moduli spaces and Hilbert schemes.

Laura Costa (1998)

Collectanea Mathematica

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Moduli of framed sheaves on projective surfaces.

Bruzzo, Ugo, Markushevish, Dimitri (2011)

Documenta Mathematica

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