Loop groups, elliptic singularities and principal bundles over elliptic curves

• Autorzy: Stefan Helmke , Peter Slodowy
• Języki publikacji: EN

Abstrakty

EN

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 successful completion of work begun long ago, [29], cf. also [31], [30], [32] for more general situations.

Kategorie tematyczne

• 14H60: Vector bundles on curves and their moduli
• 14B07: Deformations of singularities
• 32S25: Surface and hypersurface singularities
• 14H52: Elliptic curves

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 62
• Numer: 1
• Strony: 87-99

Daty

wydano

2003

Twórcy

autor

Stefan Helmke

• Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan

autor

Peter Slodowy

• Mathematisches Seminar der Universität Hamburg, Universität Hamburg, D-20146 Hamburg, Germany

Identyfikatory

DOI

10.4064/bc62-0-6