Stratified-algebraic vector bundles

On the Stratified Vector Bundles

The stratified vector bundles on a smooth variety defined over an algebraically closed field k form a neutral Tannakian category over k. We investigate the affine group–scheme corresponding to this neutral Tannakian category.

Vector bundles over algebraic curves

Stably Trivial Equivariant Algebraic Vector Bundles

Let G be a reductive algebraic group over e, let F be a G-module, and let B be an affine G-variety, i.e., an affine variety with an algebraic action of G. Then B x F is in a natural way a G-vector bundle over B, which we denote by F. (All vector bundles here are algebraic.) A G-vector bundle over B is called trivial if it is isomorphic to F for some G-module F . From the endomorphism ring R of ...

Stable vector bundles on algebraic surfaces

We prove an existence result for stable vector bundles with arbitrary rank on an algebraic surface, and determine the birational structure of certain moduli space of stable bundles on a rational ruled surface.

Stable Real Algebraic Vector Bundles over a Klein Bottle

Let X be a geometrically connected smooth projective curve of genus one, defined over the field of real numbers, such that X does not have any real points. We classify the isomorphism classes of all stable real algebraic vector bundles over X .