Tores invariants des systèmes dynamiques hamiltoniens
Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes
Périodes et isogénies des variétés abéliennes sur les corps de nombres
Théorie de l'intersection et théorème de Riemann-Roch arithmétiques
Algebraic leaves of algebraic foliations over number fields
We prove an algebraicity criterion for leaves of algebraic foliations defined over number fields. Namely, consider a number field embedded in , a smooth algebraic variety over , equipped with a rational point , and an algebraic subbundle of the its tangent bundle , defined over . Assume moreover that the vector bundle is involutive, i.e., closed under Lie bracket. Then it defines an holomorphic foliation of the analytic manifold , and one may consider its leaf through . We prove...
Semi-stability and heights of cycles.
Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
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