The Mordell-Lang Theorem for Drinfeld modules

The Mordell-Lang Theorem for Drinfeld modules

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by Dragos Ghioca

Venue:	Internat. Math. Res. Notices
Citations:	10 - 9 self

BibTeX

@ARTICLE{Ghioca_themordell-lang,
    author = {Dragos Ghioca},
    title = {The Mordell-Lang Theorem for Drinfeld modules},
    journal = {Internat. Math. Res. Notices},
    year = {},
    volume = {53},
    pages = {3273--3307}
}

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Abstract

Faltings proved the Mordell-Lang conjecture in the following form (see [6]).

Citations

227	Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas - Grothendieck - 1967
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127	Smoothness, semi-stability and alterations - Jong
56	The Mordell-Lang conjecture for function fields - Hrushovski - 1996
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23	Local fields. Translated from the French by Marvin Jay Greenberg. Graduate Texts - Serre - 1979
22	Bounds in the Theory of Polynomial Rings over Fields. A Nonstandard Approach - Dries, Schmidt - 1984
17	The general case of S. Lang’s conjecture. In: Barsotti Symposium in Algebraic Geometry (Abano Terme - Faltings - 1991
17	Local height functions and the Mordell-Weil theorem for Drinfeld modules, Compositio Mathematica 97 - Poonen - 1995
17	Stable groups - Wagner - 1997
14	Local fields, Graduate Texts in Mathematics - Serre - 1979
7	The Mordell-Weil theorems for Drinfeld modules over finitely generated function fields, Manuscripta math - Wang - 2001
7	Stable groups. London Mathematical Society Lecture Note Series, 240 - Wagner - 1997
6	The arithmetic of Drinfeld modules - Ghioca - 2005
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5	The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules - Ghioca
3	Ensembles minimaux localement modulaires, Thèse de Doctorat - Blossier - 2001
3	Diophantine geometry on Drinfeld modules, The arithmetic of function fields - Denis - 1991
3	Stable groups. Translated from the 1987 French original by Moses Gabriel Klein - Poizat - 2001
2	A Drinfeld module version of the Mordell-Lang conjecture - Scanlon
2	Subgroups of the additive group of a separably closed field. submitted for publication - Blossier - 2004
1	Decision 95-12-063 as modified by D.9601 - unknown authors - 1995