Add to ORKGThe Manin-Mumford conjecture in characteristic zero was first proved by Raynaud. Later, Hrushovski gave a different proof using model theory. His main result from model theory, when applied to abelian varieties, can be rephrased in terms of algebraic geometry. In this paper we prove that intervening result using classical algebraic geometry alone. Altogether, this yields a new proof of the Manin-Mumford conjecture using only classical algebraic geometry
Let $A$ be a semiabelian variety over an algebraically closed field of arbitrary characteristic, end...
We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic subvarietie...
Abstract.- We show that Ribet sections are the only obstruction to the validity of the relative Mani...
The Manin-Mumford conjecture in characteristic zero was first proved by Raynaud. Later, Hrushovski g...
11 pagesIn the article [PR1] {\it On Hrushovski's proof of the Manin-Mumford conjecture} (Proceeding...
In [PR1], R. Pink and the author gave a short proof of the Manin-Mumford conjecture, which was inspi...
We prove that in positive characteristic, the Manin–Mumford conjecture implies the Mordell–Lang conj...
Hrushovski's celebrated Theorem 1.1 in [H96] proved the function field Mordell-Lang conjecture. In h...
Abstract. We present the details of a model theoretic proof of an analogue of the Manin-Mumford conj...
Abstract. We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic s...
We give an unconditional proof of the André-Oort conjecture for arbi-trary products of modular curv...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Dans cette thèse nous étudions deux problèmes dans le domaine de la géométrie arithmétique, concerna...
We give an unconditional proof of the Andŕe-Oort conjecture for arbitrary products of modular curves...
AbstractThrough the use of the classical circle method, we provide a new proof of the Manin–Peyre co...
Let $A$ be a semiabelian variety over an algebraically closed field of arbitrary characteristic, end...
We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic subvarietie...
Abstract.- We show that Ribet sections are the only obstruction to the validity of the relative Mani...
The Manin-Mumford conjecture in characteristic zero was first proved by Raynaud. Later, Hrushovski g...
11 pagesIn the article [PR1] {\it On Hrushovski's proof of the Manin-Mumford conjecture} (Proceeding...
In [PR1], R. Pink and the author gave a short proof of the Manin-Mumford conjecture, which was inspi...
We prove that in positive characteristic, the Manin–Mumford conjecture implies the Mordell–Lang conj...
Hrushovski's celebrated Theorem 1.1 in [H96] proved the function field Mordell-Lang conjecture. In h...
Abstract. We present the details of a model theoretic proof of an analogue of the Manin-Mumford conj...
Abstract. We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic s...
We give an unconditional proof of the André-Oort conjecture for arbi-trary products of modular curv...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Dans cette thèse nous étudions deux problèmes dans le domaine de la géométrie arithmétique, concerna...
We give an unconditional proof of the Andŕe-Oort conjecture for arbitrary products of modular curves...
AbstractThrough the use of the classical circle method, we provide a new proof of the Manin–Peyre co...
Let $A$ be a semiabelian variety over an algebraically closed field of arbitrary characteristic, end...
We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic subvarietie...
Abstract.- We show that Ribet sections are the only obstruction to the validity of the relative Mani...