Moduli spaces of holomorphic bundles over non-Kählerian surfaces and applications

Andrei Teleman (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

In a recent article I proved that any minimal class VII surface with b_2=2 has a cycle of curves, hence it is a degeneration of a family of blown up Hopf surfaces. In this talk I explain the complex geometric aspects of the proof.

Mots clés: moduli space; stable bundle; class VII surface; non-Kählerian surface

Domaines: Géométrie différentielle [math.DG]; Variables complexes [math.CV]

Andrei Teleman. Moduli spaces of holomorphic bundles over non-Kählerian surfaces and applications. Komplexe Analysis, Aug 2008, Germany. pp.2203-2205, ⟨10.4171/OWR/2008/38⟩. ⟨hal-00881311⟩