Resolution of Null Fiber and Conormal Bundles on the Lagragian Grassmannian

نویسنده

  • KYO NISHIYAMA
چکیده

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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Resolution of Null Fiber and Conormal Bundles on the Lagrangian Grassmannian

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 resolu...

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تاریخ انتشار 2007