On the Manin–Mumford and Mordell–Lang conjectures in positive characteristic
We prove that in positive characteristic, the Manin–Mumford conjecture implies the Mordell–Lang conjecture in the situation where the ambient variety is an abelian variety defined over the function field of a smooth curve over a finite field and the relevant group is a finitely generated group. In p...
Auteur principal: | Rössler, D |
---|---|
Format: | Journal article |
Publié: |
Mathematical Sciences Publishers
2013
|
Documents similaires
-
On Hrushovski’s proof of the Manin-Mumford conjecture
par: Pink, R, et autres
Publié: (2006) -
An afterthought on the generalized Mordell-Lang conjecture
par: Rossler, D
Publié: (2008) -
A Note on the Manin-Mumford Conjecture
par: Roessler, D
Publié: (2005) -
On ψ-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture
par: Pink, R, et autres
Publié: (2004) -
Strongly semistable sheaves and the Mordell–Lang conjecture over function fields
par: Rössler, D
Publié: (2019)