%0 Journal Article
%T On the generating poset of Schubert cycles and the characterization of Gorenstein property
%A Mitsuhiro Miyazaki
%J Mathematics
%D 2005
%I arXiv
%X The homogeneous coordinate ring of a Schubert variety (a Schubert cycle for short) is an algebra with straightening law generated by a distributive lattice. This paper gives a simple method to study the set of all the join-irreducible elements of this distributive lattice, and gives a simple proof of the criterion of the Gorenstein property of Schubert cycles.
%U http://arxiv.org/abs/math/0501538v1