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for questions on geometric invariant theory (or GIT), including stability criteria and symplectic quotients.
5
votes
0
answers
278
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Smooth quotients and separation of orbits
Consider a unipotent algebraic group $G$ over $\mathbb{C}$ acting polynomially on $\mathbb{C}^n$. Suppose that the quotient exists as an analytical geometric quotient, i.e., $\mathbb{C}^n/G$ is a smo …
1
vote
0
answers
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Orbit of a transverse manifold under the action of an algebraic group
Consider an algebraic group acting on a affine manifold. Suppose that S is an affine submanifold transverse to the action. Are there some conditions on the group, the action or S such that the orbit o …