English

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

Commutative Algebra 2007-05-23 v2

Abstract

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

Cite

@article{arxiv.math/0411231,
  title  = {Stanley's theorem on codimension 3 Gorenstein $h$-vectors},
  author = {Fabrizio Zanello},
  journal= {arXiv preprint arXiv:math/0411231},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T17:12:13.314Z