On the generating poset of Schubert cycles and the characterization of Gorenstein property

Details On the generating poset of Schubert cycles and the characterization of Gorenstein property On the generating poset of Schubert cycles and the characterization of Gorenstein property

2005-01-29

arxiv.org/abs/math/0501538v1

Mathematics

Commutative Algebra

To appear in Bulletin of Kyoto University of Education

Scientific paper

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.

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