The minimal degeneration singularities in the affine Grassmannians

Mathematics – Algebraic Geometry

Scientific paper

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12 pages, latex

Scientific paper

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.

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