4 citations · 17 across the 12 of their papers we have counts for
12 papers
Some model-theoretic perspectives on the structure sheaves of Z hat and the ring of finite adèles over Q
Paola D'Aquino, Angus J. Macintyre, Margarita Otero
We use the classical Ax-Kochen-Ershov analysis of the model theory of Henselian fields to bring out some model-theoretical aspects of the structure sheaf of the spectrum of Z^ and…
Two-dimensional locally -Nash groups
Elías Baro, Juan de Vicente, Margarita Otero
We give a classification of connected abelian locally (real) Nash groups of dimension two. We first consider Painlevé's description of meromorphic maps admitting an Algebraic Addit…
Cartan subgroups and regular points of o-minimal groups
Elias Baro, Alessandro Berarducci, Margarita Otero
Let G be a group definable in an o-minimal structure M. We prove that the union of the Cartan subgroups of G is a dense subset of G. When M is an expansion of a real closed field w…
Locally C-Nash groups
Elías Baro, Juan de Vicente, Margarita Otero
We introduce the category of locally C-Nash groups, basic examples of such groups are complex algebraic groups. We prove that if two complex algebraic groups are locally C-Nash iso…
An extension result for maps admitting an algebraic addition theorem
E. Baro, J. de Vicente, M. Otero
We prove that if an analytic map admits an algebraic addition theorem then there exists a meromorphic map $g:=(…
Two-dimensional simply connected abelian locally Nash groups
E. Baro, J. de Vicente, M. Otero
The aim of this paper is to give a description of simply connected abelian locally Nash groups of dimension . Along the way we prove that, for any , a locally Nash stru…