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

Mitsuhiro Miyazaki
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Abstract

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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Mitsuhiro Miyazaki. 2005-01-29. On the generating poset of Schubert cycles and the characterization of Gorenstein property. https://arxiv.org/abs/math/0501538

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