Surveying existing literature, this paper starts by identifying links between attainments in human development and the presence of ICTs. The research then looks at instances where ICTs affect theâ€¦ (More)

Let G be a complex connected reductive group which is defined over R, let G be its Lie algebra, and T the variety of maximal tori of G. For Î¾ âˆˆ G(R), let TÎ¾ be the variety of tori in T whose Lieâ€¦ (More)

We establish a duality in the cohomology of arbitrary tori over smooth but not necessarily projective curves over a padic field. This generalises Lichtenbaumâ€“Tate duality between the Picard group andâ€¦ (More)

For a real Enriques surface Y we prove that every homology class in H1(Y (R), Z/2) can be represented by a real algebraic curve if and only if all connected components of Y (R) are orientable.â€¦ (More)

For a smooth geometrically integral variety X over a fieldk of characteristic 0, we introduce and investigate the extended Picard complex UPic (X). It is a certain complex of Galois modules of lengthâ€¦ (More)

This paper studies the reciprocity obstruction to the localâ€“global principle for compactifications of torsors under tori over a generalised global field of characteristic zero. Under aâ€¦ (More)

The Witt group of a real projective curve was computed by Knebusch in [Kn]. In [S], there is a computation of the structure of the Witt group of a smooth projective real algebraic surface in terms ofâ€¦ (More)

For certain manifolds with an involution the mod 2 cohomolo gy ring of the set of fixed points is isomorphic to the cohomology ring of the manifold, up to dividing the degrees by two. Examples includâ€¦ (More)

We establish a duality in the cohomology of arbitrary tori over smooth but not necessarily projective curves over a padic field. This generalises Lichtenbaumâ€“Tate duality between the Picard group andâ€¦ (More)

This is a study of the torsion in the Chow group of zero-cycle s on a variety over the real numbers. The first section recalls important re sults from the literature. The rest of the paper is devotedâ€¦ (More)