Abstract
It is shown that each algebraic action of a simply connected reductive algebraic group on an affine algebraic variety can be contracted (in a flat one-dimensional family of actions) to a canonical action of on a certain affine variety having some very special properties. It is shown that and have many algebro-geometric properties in common. As an application, we prove the Procesi-Kraft conjecture to the effect that the singularities of the closures of orbits in the case of spherical stabilizer are rational. It is assumed that the ground field has characteristic zero.Bibliography: 37 titles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.