Now showing items 1-3 of 3
Einstein-Hermitian connection on twisted Higgs bundles (Pre-published Version)
(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
(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.
Poincaré families of G-bundles on a curve (Pre-published version)
(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 ...