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arxiv: math/0411231 · v2 · submitted 2004-11-10 · 🧮 math.AC

Stanley's theorem on codimension 3 Gorenstein h-vectors

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keywords codimensionfirstgorensteinstanleytheoremvectorsalgebrasdifference
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In this note we supply an elementary proof of the following well-known theorem of R. Stanley: the $h$-vectors of Gorenstein algebras of codimension 3 are SI-sequences, i.e. are symmetric and the first difference of their first half is an $O$-sequence.

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