La dimension de l'espace des sections du diviseur thêta généralisé
La formule de Verlinde
Linearization of group stack actions and the Picard group of the moduli of -bundles on a curve
Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I.
Local Holomorphic Factorization for Free Conformal Fields
Local Structure of Brill-Noether Strata in the Moduli Space of Flat Stable Bundles
Local structure of the moduli space of vector bundles over curves.
Loop groups, elliptic singularities and principal bundles over elliptic curves
There is a well known relation between simple algebraic groups and simple singularities, cf. [5], [28]. The simple singularities appear as the generic singularity in codimension two of the unipotent variety of simple algebraic groups. Furthermore, the semi-universal deformation and the simultaneous resolution of the singularity can be constructed in terms of the algebraic group. The aim of these notes is to extend this kind of relation to loop groups and simple elliptic singularities. It is the...