Théorie ergodique et géométrie arithmétique
We will present several examples in which ideas from ergodic theory can be useful to study some problems in arithmetic and algebraic geometry.
math.NT↗
arXiv subjects
Publications and source records attributed to Emmanuel Ullmo.
We will present several examples in which ideas from ergodic theory can be useful to study some problems in arithmetic and algebraic geometry.
We prove the discreteness of algebraic points (with respect to the Neron-Tate height) on a curve of genus greater than one embedded in his jacobian. This result was conjectured by Bogomolov. We also prove the positivity of the self intersection of the admissible dualizing sheaf.