Séminaire Lotharingien de Combinatoire, B84b (2022), 8 pp.

Axel Hultman and Vincent Umutabazi

Smoothness of Schubert Varieties Indexed by Involutions in Finite Simply Laced Types

Abstract. We prove that in finite, simply laced types, every Schubert variety indexed by an involution which is not the longest element of some standard parabolic subgroup is singular.

Received: December 23, 2020. Accepted: January 31, 2022. Final Version: February 9, 2022.

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