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    Author
    Hoffmann, Norbert (11)
    Biswas, Indranil (3)Andreas, Björn (2)Amit, Hogadi (1)Gómez, Tomás L. (1)... View MoreSubjectVector bundles (3)Curve (2)Curves (2)G-bundles (2)Moduli stack (2)... View MoreDate Issued2010 (5)2012 (4)2011 (2)

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    Independent parameters for special instanton bundles on P^{2n+1} (Pre-published Version) 

    Hoffmann, Norbert (Elsevier, 2011)
    Motivated by Yang-Mills theory in 4n dimensions, and generalizing the notion due to Atiyah, Drinfeld, Hitchin and Manin for n = 1, Okonek, Spindler and Trautmann introduced instanton bundles and special instanton bundles ...
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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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    Einstein-Hermitian connection on twisted Higgs bundles (Pre-published Version) 

    Biswas, Indranil; Gómez, Tomás L.; Hoffmann, Norbert; Hogadi, Amit (Elsevier Masson, 2010)
    Let X be a smooth projective variety over C. We prove that a twisted Higgs vector bundle (E , θ) on X admits an Einstein–Hermitian connection if and only if (E , θ) is polystable. A similar result for twisted vector bundles ...
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    The Picard group of a coarse moduli space of vector bundles in positive characteristic (Pre-published version) 

    Hoffmann, Norbert (Versita, co-published with Springer Verlag., 2012)
    Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let Mss r,L denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant ...
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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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    Poincaré families of G-bundles on a curve (Pre-published version) 

    Hoffmann, Norbert; Biswas, Indranil (Springer Verlag, 2012)
    Let G be a reductive group over an algebraically closed field k. Consider the moduli space of stable principal G-bundles on a smooth projective curve C over k. We give necessary and sufficient conditions for the existence of ...
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    New examples of stable bundles on Calabi-Yau threefolds (Pre-published Version) 

    Hoffmann, Norbert; Andreas, Björn (Oxford University Press, 2012)
    In this paper we present a construction of stable bundles on Calabi-Yau threefolds using the method of bundle extensions. This construction applies to any given Calabi-Yau threefold with h1 , 1 > 1. We give examples ...
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    SU(5) heterotic standard model bundles (Pre-published version) 

    Hoffmann, Norbert; Andreas, Björn (Springer Verlag, 2012)
    We construct a class of stable SU(5) bundles on an elliptically fibered Calabi-Yau threefold with two sections, a variant of the ordinary Weierstrass fibration, which admits a free involution. The bundles are invariant under ...
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    The Brauer group of moduli spaces of vector bundles over a real curve 

    Hoffmann, Norbert; Indranil, Biswas; Amit, Hogadi; Schmitt, Alexander H.W. (American Mathematical Society (AMS), 2011)
    Let X be a geometrically connected smooth projective curve of genus gX ≥ 2 over R. Let M(r, ξ) be the coarse moduli space of geometrically stable vector bundles E over X of rank r and determinant ξ, where ξ is a real point ...
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    On moduli stacks of G-bundles over a curve (Pre-published version) 

    Hoffmann, Norbert (Springer, 2010)
    Let C be a smooth projective curve over an algebraically closed eld k of arbitrary characteristic. Given a linear algebraic group G over k, let MG be the moduli stack of principal G-bundles on C. We determine the set of ...
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