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Rigid Schubert classes in partial flag varieties

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arxiv 2401.11375 v2 pith:AUJ22CK4 submitted 2024-01-21 math.AG

Yuxiang Liu , Artan Sheshmani , Shing-Tung Yau This is my paper · ORCID
classification math.AG
keywords schubertrigidvarietiesflagpartialtypeclassclasses
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Homological rigidity and Schur rigidity of Schubert varieties in rational homogeneous spaces

    math.AG 2026-07 accept novelty 7.0 of 10

    Smooth Schubert varieties in rational homogeneous spaces are homologically rigid when marked roots are long; for subdiagram Schubert varieties the paper gives the full rigid/non-rigid list and Schur rigidity except pr...

  2. Realization of Cohomology Classes in Grassmannians

    math.AG 2025-09 conditional novelty 7.0 of 10

    In Grassmannians, dimension 3 and codimension 3 classes are realizable by irreducible subvarieties exactly when b²≥ac, and in G(2,n) classes are realizable over Q exactly when their coefficients form a log-concave seq...

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