Given a family of Abelian varieties over a positive-dimensional base, we prove that for a sufficiently general curve in the base, every rational section of the family over the curve is contained in a unique rational section over the entire base. 1. Main results sec-intro The starting point for this article is the following theorem. Theorem 1.1. [GHMS05, Theorem 6.2] Let B be a smooth, quasi-pro...

A Kuga fiber variety is a family of abelian varieties parametrized by a locally symmetric space and is constructed by using an equivariant holomorphic map of Hermitian symmetric domains. We construct a complex torus bundle T over a Kuga fiber variety Y parametrized by X and express its cohomology H∗(T ,C) in terms of the cohomology of Y as well as in terms of the cohomology of the locally symme...

Human Leukocyte Antigens (HLA) of fetus are responsible for induction of HLA antibodies in mother. Exposure to the mismatched paternal HLA antigens in the fetus gives rise to a polyclonal antibody response against paternal HLA antigens. HLA antibodies are present in the maternal circulation of the placenta and are absorbed onto the placenta [1]. The major source of HLA antisera is from sera of ...

background: ornithobilharziosis as one of the parasitic infections may give rise to serious economic problems in animal husbandry. the aim of the study was to prepare and compare the somatic and excretory-secretory (es) antigens of o. tur­kestanicum in gel diffusion test. methods: excretory-secretory (es) and somatic antigens of ornithobilharzia turkestanicum were prepared from collected worms ...

Kuga-Satake varieties are abelian varieties associated to certain weight two Hodge structures, for example the second cohomology group of a K3 surface. We start with an introduction to Hodge structures and we give a detailed account of the construction of Kuga-Satake varieties. The Hodge conjecture is discussed in section 2. An excellent survey of the Hodge conjecture for abelian varieties is [...

We show that if X is a toric scheme over a regular ring containing a field of finite characteristic then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze.

Given a curve of genus 3 with an unramified double cover, we give an explicit description of the associated Prym-variety. We also describe how an unramified double cover of a non-hyperelliptic genus 3 curve can be embedded in the jacobian of a curve of genus 2 over its field of definition and how this can be used to do Chabautyand Brauer-Manin type calculations for curves of genus 5 with an unr...

Let X1, . . . , Xm denote smooth projective curves of genus gi ≥ 2 over an algebraically closed field of characteristic 0 and let n denote any integer at least equal to 1 + max i=1 gi. We show that the product JX1 × · · · × JXm of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent n. This exponent is considerably smaller than the exponent of the struc...