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...

Let X/K be an absolutely simple abelian variety over a number field; we study whether the reductions Xp tend to be simple, too. We show that if End(X) is a definite quaternion algebra, then the reduction Xp is geometrically isogenous to the self-product of an absolutely simple abelian variety for p in a set of positive density, while if X is of Mumford type, then Xp is simple for almost all p. ...

Focusing on two determinant aspects of retail competition, prices and catchment area, this paper aims to specifically investigate the importance of the relative price density function. We answer such questions as whether it pays for a store to offer more low-priced items in a given category than its close competitors and whether a retailer should have a consistent assortment in terms of price t...

PURPOSE To investigate the association between home environment resources and the school performance of children from a public school in Belo Horizonte, Brazil, enrolled in the fourth year of the second cycle of Elementary School. METHODS This is a cross-sectional descriptive study in which 48 children aged between 8 and 12 years old participated. It included 28 boys, 20 girls, and their resp...

In this paper, we analyse the factors that will influence long-term oil supply and describe the future form of the global oil supply profile as an 'undulating plateau' rather than an irreversible, short-term peak or an ever upward trend of increasing production. The ultimate transition from a world of relatively plentiful and cheap oil to one of tight supply and high cost will be slow and chall...

This article describes the jobs of new Social Security retired-worker beneficiaries about 2 years after they received their first benefit payment and compares the characteristics of these jobs with those of jobs they were in before they received a benefit. The data are from the Social Security Administration's 1982 New Beneficiary Survey (NBS). The NBS data show that more than one-fifth of the ...