Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type

Autor:	Jonathan Pila
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Combinatorics Conjecture Mathematics::Algebraic Geometry Degree (graph theory) Simple (abstract algebra) General Mathematics Bounded function Mathematics::Number Theory Structure (category theory) Extension (predicate logic) Algebraic number Type (model theory) Mathematics
DOI:	10.1093/imrn/rnp022
Popis:	We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an extension to algebraic points of bounded degree of a result of Pila-Wilkie on the density of rational points on sets definable in an o-minimal structure. The strategy follows that of a recent new proof of the Manin-Mumford conjecture by Pila-Zannier, and a proof of a special (but new) case of Pink's relativeManin-Mumford conjecture by Masser-Zannier. © 2009 The Author. Published by Oxford University Press. All rights reserved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10dcb38d36d10416d41195d1b2c99942 https://doi.org/10.1093/imrn/rnp022 Zobrazit plný text záznamu