A Fano compactification of the SL₂(C)free group character variety

We show that a certain compactification X-g of the SL2(C) free group character variety X(F-g,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.