Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian
Abstract
We study the null fiber of a moment map related to dual pairs. We construct an equivariant resolution of singularities of the null fiber, and get conormal bundles of closed KC -orbits in the Lagrangian Grassmannian as the categorical quotient. The conormal bundles thus obtained turn out to be a resolution of singularities of the closure of nilpotent KC -orbits, which is a "quotient" of the resolution of the null fiber.
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