Convergence of Harder-Narasimhan polygons

Huayi Chen (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We establish in this article convergence results of normalized Harder-Narasimhan polygons both in geometric and in arithmetic frameworks by introducing the Harder-Narasimhan filtration indexed by $\mathbb R$ and the associated Borel probability measure.

Mots clés: Harder-Narsimhan polygon; Harder-Narsimhan filtration; Hilbert-Samuel theorem

Domaines: Géométrie algébrique [math.AG]

Huayi Chen. Convergence of Harder-Narasimhan polygons. 2007. ⟨hal-00155666⟩