Gorenstein locus of minuscule Schubert varieties
Nicolas Perrin
TL;DR
This paper explicitly describes the Gorenstein locus of all minuscule Schubert varieties, confirming a special case of a conjecture related to the Gorenstein property of Schubert varieties.
Contribution
It provides an explicit description of the Gorenstein locus for minuscule Schubert varieties, advancing understanding of their geometric properties.
Findings
Explicit description of Gorenstein locus for minuscule Schubert varieties
Proof of a special case of Woo and Yong's conjecture
Confirmation of Gorenstein property in specific cases
Abstract
In this article, we describe explicitely the Gorenstein locus of all minuscule Schubert varieties. This proves a special case of a conjecture of A. Woo and A. Yong (see math.AG/0603273) on the Gorenstein locus of Schubert varieties.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics