# Gorenstein locus of minuscule Schubert varieties

## 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.

## Key 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.