20 citations · 137 across the 31 of their papers we have counts for
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math.SG2008★ 18 cited
The Toric Geometry of Triangulated Polygons in Euclidean Space
Benjamin Howard, Christopher Manon, John Millson
Speyer and Sturmfels [SpSt] associated Gröbner toric degenerations $\mathrm{Gr}_2(\C^n)^{\tree}$ of $\mathrm{Gr}_2(\C^n)$ to each trivalent tree $\tree$ with leaves. These dege…
math.AC2008★ 4 cited
Gorenstein Semigroup Algebras of Weighted Trees
Christopher Manon
We classify exactly when the toric algebras $\C[S_{\tree}(\br)]$ are Gorenstein. These algebras arise as toric deformations of algebras of invariants of the Cox-Nagata ring of the…
math.AG2008★ 16 cited
Presentations of Semigroup Algebras of Weighted Trees
Christopher A. Manon
We find presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski in \cite{BW}. Th…