Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian

Details Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian

2007-01-26

arxiv.org/abs/math/0701764v2

Geometriae Dedicata, 143(2009), no.~1, 19 -- 35

Mathematics

Representation Theory

17 pages; completely revised and add references

Scientific paper

10.1007/s10711-009-9369-y

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 $ K_C $-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 $ K_C $-orbits, which is a "quotient" of the resolution of the null fiber.

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