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arxiv: 1012.3426 · v1 · pith:RBYX54OFnew · submitted 2010-12-15 · 🧮 math.RT · math.AG

Cohomology of Spaltenstein varieties

classification 🧮 math.RT math.AG
keywords cohomologyalgebraspaltensteinannihilatedconcinidescriptionfiberfixed
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We give a presentation for the cohomology algebra of the Spaltenstein variety of all partial flags annihilated by a fixed nilpotent matrix, generalizing the description of the cohomology algebra of the Springer fiber found by De Concini, Procesi and Tanisaki.

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