Convexity theorems for varieties invariant under a Borel subgroup

Mathematics – Symplectic Geometry

Scientific paper

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18 pages

Scientific paper

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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