Gorenstein Semigroup Algebras of Weighted Trees
نویسنده
چکیده
We classify exactly when the toric algebras C[ST (r)] are Gorenstein. These algebras arise as toric deformations of algebras of invariants of the Cox-Nagata ring of the blow-up of n − 1 points on P, or equivalently algebras of the ring of global sections for the Plücker embedding of weight varieties of the Grassmanian Gr2(Cn), and algebras of global sections for embeddings of moduli of weighted points on P. As a corollary, we find exactly when these families of rings are Gorenstein as well.
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