A characterization of ample vector bundles on a curve.
A Class of Indecomposable Algebraic Vector Bundles.
A criterion for the existence of a flat connection on a parabolic vector bundle.
A criterion for virtual global generation
Let be a smooth projective curve defined over an algebraically closed field , and let denote the absolute Frobenius morphism of when the characteristic of is positive. A vector bundle over is called virtually globally generated if its pull back, by some finite morphism to from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of is positive, a vector bundle over is virtually globally generated if and only if for...
A duality result for moduli spaces of semistable sheaves supported on projective curves
A modular compactification of the general linear group.
A Narasimhan-Seshardri-Donaldson Correspondance over Non-orientable Surfaces.
A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4
We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
A remark on Hodge cycles on moduli spaces of rank 2 bundles over curves.
A sharp slope inequality for general stable fibrations of curves.
Abelian varieties in and points of bounded degree on algebraic curves
About -bundles over elliptic curves
Let be a complex algebraic group, simple and simply connected, a maximal torus and the Weyl group. One shows that the coarse moduli space parametrizing -equivalence classes of semistable -bundles over an elliptic curve is isomorphic to . By a result of Looijenga, this shows that is a weighted projective space.
Ample vector bundles with sections vanishing along conic fibrations over curves.
Auslander-Reiten components for concealed-canonical algebras