The minimal degeneration singularities in the affine Grassmannians

By A. Malkin, V. Ostrik, M. Vybornov. 2003

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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.

View Paper: https://www.semanticscholar.org/paper/b210dc213e0e01a2355cabdb8608ab4e55798245

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Citations in the corpus

• Decomposition numbers for perverse sheaves (2008, methodology): “Moreover, most of the minimal degenerations of this (infinite-dimensional) variety are simple or minimal singularities [18], so the calculations that we carry out in this article can be used to recover some decomposition numbers for reductive algebraic group schemes geometrically.”