A Fano compactification of the SL2(C) free group character variety
Abstract
We show that a certain compactification Xg of the SL2(C) free group character variety X(Fg, SL2(C)) is Fano. This compactification has been studied previously by the second author, and separately by Biswas, Lawton, and Ramras. Part of the proof of this result involves the construction of a large family of integral reflexive polytopes.
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