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Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory

Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory

Suppose that $\tilde{G}$ is a connected reductive group defined over a field $k$, and $Γ$ is a finite group acting via $k$-automorphisms of $\tilde{G}$ satisfying a certain quasi-semisimplicity condition. Then the connected part of the group of $Γ$-fixed points in $\tilde{G}$ is reductive. We axiomatize the main features of the …