Rigid Schubert classes in partial flag varieties

2024/01/21 by Liu Yuxiang, Liu, Yuxiang, Artan Sheshmani +3 · 1 citation
Mathematics · Physics and Astronomy · #14M15 #14M17 #32M10 #51M35 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2401.11375

openalex publication_date 2024/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Schubert class is called rigid if it can only be represented by Schubert varieties. The rigid Schubert classes have been classified in Grassmannians and orthogonal Grassmannians. In this paper, we study the rigidity problem in partial flag varieties (type A) and orthogonal partial flag varieties (type B and type D). In particular, we give numerical conditions that ensure a Schubert class is rigid.

Cited by

• Realization of Cohomology Classes in Grassmannians

Related

• Multi-rigidity of Schubert classes in partial flag varieties
• The Rigidity Problem in Orthogonal Grassmannians
• On the Classification of Schubert Varieties in Partial Flag Varieties
• Schur flexibility of cominuscule Schubert varieties
• Flexibility of Schubert classes