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. ...

“Borrowing” is a lingual process that is studied in diachronic linguistics. In this process a language borrows elements from another language. This process usually occurs in areas that two languages make contact with each other. In a dialect spoken in South Khorasan the language borrowing happens. Arabs living in this part of Iran probably have immigrated in the early centuries of Islam. In thi...

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...

Previous investigations of inter-Scandinavian intelligibility have shown that, in general, Norwegians are better at understanding the closely related languages Danish and Swedish than Danes and Swedes are at understanding Norwegian. This asymmetry is often explained by the strong position that dialects hold in Norway as opposed to in Denmark and Sweden. In Norway, the general public is more exp...

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...

This paper presents a new approach of building a language identification system using a specialized Phone Recognition system followed by Language Modeling (PRLM) to differentiate Portuguese varieties spoken in African Countries from European Portuguese. The system is designed to focus on exploiting the phonotactic information of a single discriminatively trained tokenizer for the specific pair ...

Today in the world of English language teaching and learning, EIL(English as an international language) has been gradually preferred, instead of the traditional ESL(English as a second language) or EFL(English as a foreign language). It is believed that non-native English varieties developed worldwide should be as important as the native English varieties and it is rational for decision-makers ...