For geodesic ghor algebras on genus g at least 1 surfaces, every cyclic localization has global dimension at most 2g+1, with equality precisely over the noetherian locus of the center.
Examples of geodesic ghor algebras on hyperbolic surfaces
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Global dimensions of local geodesic ghor algebras
For geodesic ghor algebras on genus g at least 1 surfaces, every cyclic localization has global dimension at most 2g+1, with equality precisely over the noetherian locus of the center.