A Fano compactification of the ${\mathrm{SL}}_2(\mathbb{C})$ free group character variety

Joseph Cummings, Christopher Manon

We show that a certain compactification ${\mathfrak{X}}_g$ of the ${\mathrm{SL}}_2(\mathbb{C})$ free group character variety $\mathcal{X}(F_g,{\mathrm{SL}}_2(\mathbb{C}))$ is Fano. This…