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Study of some orthosymplectic Springer fibers (1002.4983v1)
Published 26 Feb 2010 in math.RT and math.AG
Abstract: We decompose the fibers of the Springer resolution for the odd nilcone of the Lie superalgebra $\osp(2n+1,2n)$ into locally closed subsets. We use this decomposition to prove that almost all fibers are connected. However, in contrast with the classical Springer fibers, we prove that the fibers can be disconnected and non equidimensional.
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