Editors’ preface for the topical issue “Instantons, coherent sheaves and their moduli spaces”
Dimitri Markushevich, Alexander Tikhomirov, Misha Verbitsky (2012)
Open Mathematics
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Displaying similar documents to “Erratum to : Morphisms, line bundles and moduli spaces in real algebraic geometry”
Editors’ preface for the topical issue “Instantons, coherent sheaves and their moduli spaces”
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Wolf Barth, Klaus Hulek (1978)
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On the rationality of the moduli schemes of vector bundles on curves
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We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.
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Valery Vedernikov (1986)
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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...
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