Browsing Mathematics and Computer Studies (Peer-reviewed publications) by Author "Biswas, Indranil"

Now showing items 1-7 of 7

    • 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 ...

    • 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.

    • On semistable vector bundles over curves (Pre-published version) 

      Hoffmann, Norbert; Biswas, Indranil; Hein, Georg (Elsevier, 2008)
      Let X be a geometrically irreducible smooth projective curve de ned over a eld k, and let E be a vector bundle on X. Then E is semistable if and only if there is a vector bundle F on X such that Hi(X; F E) = 0 for i = 0; ...

    • Poincaré families and automorphisms of principal bundles on a curve (Pre-published version) 

      Hoffmann, Norbert; Biswas, Indranil (Elsevier, 2009)
      Let C be a smooth projective curve, and let G be a reductive algebraic group. We give a necessary condition, in terms of automorphism groups of principal G-bundles on C, for the existence of Poincaré families parameterized ...

    • 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 ...

    • 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 ⊗ ...

    • Torelli theorem for the Deligne-Hitchin moduli space (Pre-published version) 

      Biswas, Indranil; Gómez, Tomás L.; Hoffmann, Norbert; Logares, Marina (Springer Verlag, 2009)
      Fix integers g ≥ 3 and r ≥ 2, with r ≥ 3 if g = 3. Given a compact connected Riemann surface X of genus g, let M DH (X) denote the corresponding SL(r,C) Deligne–Hitchin moduli space. We prove that the complex analytic ...