Arithmetic Duality Theorems Page 1 Arithmetic Duality Theorems Second Edition JS Milne Page
2 Copyright c 2004, 2006 JS Milne. The electronic version of this work is licensed under a …

Diophantine problems represent some of the strongest aesthetic attractions to algebraic
geometry. They consist in giving criteria for the existence of solutions of algebraic equations …

Consider following generalized Bogomolov conjecture: Let A be an abelian variety over Q,
h: A (Q)→ R a Néron-Tate height function with respect to an ample and symmetric line …

* The idea of proving Bogomolov's conjecture by using arithmetic intersection theory is due
to L. Szpiro. I would like to thank him for introducing me to this circle of problems. The idea of …

Soient K un corps de nombres et K sa cloture algebrique. Soient XK une courbe propre,
lisse, geometriquement connexe de genre g> 2 sur K et J sa jacobienne. Soit Do un diviseur …

Soit E une courbe elliptique sur le corps C des nombres complexes. On note E [n](resp E [n])
le sous–groupe des points de n–torsion (resp l'ensemble des points d'ordre exactement n) …

Manin et Mumford ont pose, a peu pres au meme moment, la question suivante:<< Une
courbe de genre au moins deux possede-t-elle un nombre fini de points de torsion dans sa …

A Combination of the Conjectures of Mordell–Lang and André–Oort Page 1 A Combination of
the Conjectures of Mordell–Lang and André–Oort Richard Pink Dept. of Mathematics …

Generalizing the construction from tropical algebraic geometry, we associate to every
(irreducible d-dimensional) closed analytic subvariety of G_m^na tropical variety in ℝ n with …

arXiv:2105.15085v2 [math.NT] 24 Jul 2021 Page 1 arXiv:2105.15085v2 [math.NT] 24 Jul 2021
THE UNIFORM MORDELL–LANG CONJECTURE ZIYANG GAO, TANGLI GE AND LARS …