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arXiv math/0504537math.SGmath.AG

Convexity theorems for varieties invariant under a Borel subgroup

Victor Guillemin, Reyer Sjamaar

英文摘要:

Atiyah proved that the moment map image of the closure of an orbit of a complex torus action is convex. Brion generalized this result to actions of a complex reductive group. We extend their results to actions of a maximal solvable subgroup.

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