2 citations · 2 across the 6 of their papers we have counts for
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Relative Geometric Invariant Theory: Reductive and Non-reductive
Eloise Hamilton, Victoria Hoskins, Joshua Jackson
We construct good quotients for equivariant actions of group homomorphisms on morphisms of schemes. Using Geometric Invariant Theory, we obtain explicit open semistable loci in the…
Affine Non-Reductive GIT and moduli of representations of quivers with multiplicities
Eloise Hamilton, Victoria Hoskins, Joshua Jackson
We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non-Reductive…
Smoothness of non-reductive fixed point sets and cohomology of non-reductive GIT quotients
Eloise Hamilton
We establish a method for calculating the Poincaré series of moduli spaces constructed as quotients of smooth varieties by suitable non-reductive group actions; examples of such mo…
Three instability stratifications of the stack of Higgs bundles on a smooth projective curve
Eloise Hamilton
We study three instability stratifications of the stack of twisted Higgs bundle of a fixed rank and degree on a smooth complex projective curve. The first is the Harder-Narasimhan…
Classifying complete -subalgebras of
Eloise Hamilton
We address the problem of classifying complete -subalgebras of . A discrete invariant for this classification problem is the semigroup of orders of the…