Browsing by Author "Biswas, Indranil"
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EinsteinHermitian connection on twisted Higgs bundles (Prepublished 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 (Prepublished 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 (Prepublished 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 Gbundles on C, for the existence of Poincaré families parameterized ... 
Poincaré families of Gbundles on a curve (Prepublished 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 Gbundles 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 (Prepublished 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 DeligneHitchin moduli space (Prepublished 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 ...