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math.RT2017
On the normality of the null-fiber of the moment map for - and tori representations
Michael Bulois
Let (G, V) be a representation with either G a torus or (G, V) a locally free stable -representation. We study the fiber at 0 of the associated moment map, which is a commuting…
math.RT2010
The closure of a sheet is not always a union of sheets
Michael Bulois
In this note we answer to a frequently asked question. If G is an algebraic group acting on a variety V, a G-sheet of V is an irreducible component of V^(m), the set of elements of…