Darstellbarkeitskriterien für analytische Funktoren
Das formale Prinzip und Modifikationen komplexer Räume.
Das Modularproblem für holomorphe Einbettungen mit konkaver Umgebungsstruktur.
Deformation kompakter komplexer Mannigfaltigkeiten.
Déformations équivariantes d'espaces analytiques complexes compacts
Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.
Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space
The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.