Valuations, intersections et fonctions de Belyi-quelques remarques sur la construction des hauteurs

Autor:	Răzvan Liţcanu
Rok vydání:	2007
Předmět:	Intersection theory medicine.medical_specialty Mathematics(all) Height General Mathematics Intersection number Algebraic number field Arakelov theory Belyi function Algebraic cycle Combinatorics Limit point medicine Algebraic curve Algebraic number Mathematics
Zdroj:	Expositiones Mathematicae. 25(2):95-116
ISSN:	0723-0869
DOI:	10.1016/j.exmath.2006.06.002
Popis:	We present in this article several possibilities to approach the height of an algebraic curve defined over a number field: as an intersection number via the Arakelov theory, as a limit point of the heights of its algebraic points and, finally, using the minimal degree of Belyi functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ea5b255f9ad529932ad2aac56431068 Zobrazit plný text záznamu Full Text from ScienceDirect