Compatibility-degree weights of cluster variables lie in the Gröbner cone of any finite-type cluster algebra, yielding explicit circular term orders and, for classical types, complete ray and lineality descriptions.
Degenerations to unobstructed F ano S tanley- R eisner schemes
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Gr\"obner Cones for Finite Type Cluster Algebras
Compatibility-degree weights of cluster variables lie in the Gröbner cone of any finite-type cluster algebra, yielding explicit circular term orders and, for classical types, complete ray and lineality descriptions.