Now showing items 1-4 of 4
Rationality and Poincaré families for vector bundles with extra structure on a curve (Pre-published version)
(Oxford University Press, 2007)
Iterated Grassmannian bundles over moduli stacks of vector bundles on a curve are shown to be birational to an affine space times a moduli stack of degree 0 vector bundles, following the method of King and Schofield. ...
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 ...
The Brauer group of moduli spaces of vector bundles over a real curve
(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 ...
Poincaré families and automorphisms of principal bundles on a curve (Pre-published version)
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 ...