English

The minimal degeneration singularities in the affine Grassmannians

Algebraic Geometry 2007-05-23 v1 Representation Theory

Abstract

The minimal degeneration singularities in the affine Grassmannians of simple simply-laced algebraic groups are determined to be either Kleinian singularities of type A, or closures of minimal orbits in nilpotent cones. The singularities for non-simply-laced types are studied by intersection cohomology and equivariant Chow group methods.

Keywords

Cite

@article{arxiv.math/0305095,
  title  = {The minimal degeneration singularities in the affine Grassmannians},
  author = {Anton Malkin and Viktor Ostrik and Maxim Vybornov},
  journal= {arXiv preprint arXiv:math/0305095},
  year   = {2007}
}

Comments

12 pages, latex