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math.AG2019
Compactifications of cluster varieties and convexity
Man-Wai Cheung, Timothy Magee, Alfredo Nájera Chávez
In [GHKK18], Gross-Hacking-Keel-Kontsevich discuss compactifications of cluster varieties from "positive subsets" in the real tropicalization of the mirror. To be more precise, let…
math.AG2015★ 11 cited
Fock-Goncharov conjecture and polyhedral cones for and base affine space
Timothy Magee
I prove several conjectures of \cite{GHKK} on the cluster structure of , which in particular imply the full Fock-Goncharov conjecture for the open double Bruhat cell $\mathca…