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 “Preface, Contents”
Editors’ preface for the topical issue “Instantons, coherent sheaves and their moduli spaces”
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Recent results on quiver sheaves
Andreas Laudin, Alexander Schmitt (2012)
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In this article, we survey recent work on the construction and geometry of representations of a quiver in the category of coherent sheaves on a projective algebraic manifold. We will also prove new results in the case of the quiver • ← • → •.
Algebraic loop groups and moduli spaces of bundles
Gerd Faltings (2003)
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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.
Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves
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Open Mathematics
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Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.
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Cox, Jonathan A. (2007)
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Special instanton bundler on IP2N + 1, their geometry and their moduli.
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