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    Author
    Hoffmann, Norbert (3)
    Biswas, Indranil (2)Subject
    Moduli stack (3)
    Algebraic curve (1)Algebraic stack (1)Picard group (1)Principal bundle (1)... View MoreDate Issued2010 (2)2008 (1)

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    The moduli stack of vector bundles on a curve (Pre-published Version) 

    Hoffmann, Norbert (Ramanujan Mathematical Society, 2010)
    This expository text tries to explain brie y and not too technically the notions of stack and algebraic stack, emphasizing as an example the moduli stack of vector bundles on an algebraic curve.
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    The line on moduli stacks of principal bundles on a curve 

    Hoffmann, Norbert; Biswas, Indranil (Documenta Mathematica, 2010)
    Let G be an affine reductive algebraic group over an algebraically closed field k. We determine the Picard group of the moduli stacks of principal G–bundles on any smooth projective curve over k.
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    Some moduli stacks of symplectic bundles on a curve are rational (Pre-published version) 

    Biswas, Indranil; Hoffmann, Norbert (Elsevier, 2008)
    Let C be a smooth projective curve of genus g ≥ 2 over a field k. Given a line bundle L on C, let Sympl2n,L be the moduli stack of vector bundles E of rank 2n on C endowed with a nowhere degenerate symplectic form b : E ⊗ ...

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