Stanley's theorem on codimension 3 Gorenstein $h$-vectors

Mathematics – Commutative Algebra

Scientific paper

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6 pages. Proc. of the A.M.S., to appear

Scientific paper

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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