Denis's Mordell–Lang conjecture for Drinfeld modules
Denis's Mordell–Lang conjecture for Drinfeld modules
Let be a field extension of , let be a Drinfeld module of generic characteristic over , let be a subvariety, and let be a finitely generated -module, where . Denis's Mordell–Lang conjecture. The intersection is a finite union of translates of -submodules of . This is the Drinfeld-module analogue of the Mordell–Lang conjecture for abelian varieties. The paper presents it as the motivation for its local-to-global results, but the conjecture remains open in the stated generality.
Sources & referencesView supporting material
Primary source
Dragos Ghioca and Thomas Scanlon, “Algebraic equations on the adelic closure of a Drinfeld module”, arXiv:1012.1825 (2010).
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