34 citations · 99 across the 24 of their papers we have counts for
4 papers · 1 filter
Representations With a Reduced Null Cone
Hanspeter Kraft, Gerald W. Schwarz
Let G be a complex reductive group and V a G-module. Let π: V \to V//G be the quotient morphism and set N(V) = π^{-1}(π(0)). We consider the following question. Is the null cone N(…
Jet schemes and invariant theory
Andrew R. Linshaw, Gerald W. Schwarz, Bailin Song
Let be a complex reductive group and a -module. Then the th jet scheme acts on the th jet scheme for all . We are interested in the invariant…
Vector Fields and Luna Strata
Gerald W. Schwarz
Let V be a G-module where G is a complex reductive group. Let Z:=V//G denote the categorical quotient. One can ask if the Luna stratification of Z is intrinsic. That is, if phi : Z…
Reduced invariant sets
Gerald W. Schwarz
Let K be a compact Lie group and W a finite-dimensional real K-module. Let X be a K-stable real algebraic subset of W. Let I(X) denote the ideal of X in R[W] and let I_K(X) be the…