A Combination of the Conjectures of Mordell-Lang and André-Oort
نویسنده
چکیده
We propose a conjecture combining the Mordell-Lang conjecture with an important special case of the André-Oort conjecture, and explain how existing results imply evidence for it. Mathematics Subject Classification: 14G35, 14K12 (11F32, 11F72, 11G15, 11G18)
منابع مشابه
Model Theory and Diophantine Geometry Lectures 3 , 4 and 5
These notes continue the notes of Anand Pillay on model theory and diophantine geometry. In my lectures I describe a model theoretic approach to some analogues of the Mordell-Lang conjecture for Drinfeld modules. Many questions remain open and algebraic proofs along the lines of the proof of the Manin-Mumford conjecture described by Pillay may be possible. We discuss these questions and potenti...
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[1] G. Faltings, Diophantine approximation on abelian varieties, Ann. of Math., 133 (1991), 549-576. [2] M. Hindry, Autour d'une conjecture de Serge Lang, Invent. math., 94 (1988), 575-603. [3] B. Poonen, Mordell-Lang plus Bogomolov, Invent. math., 137 (1999), 413-425. [4] M. McQuillan, Divison points on semi-abelian varieties, Invent. math., 120 (1995), 143-159. [5] A. Moriwaki, Arithmetic hei...
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تاریخ انتشار 2004