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The Rigidity Problem in Orthogonal Grassmannians

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arxiv 2210.14540 v2 pith:7QTNQWSG submitted 2022-10-26 math.AG

Yuxiang Liu This is my paper · ORCID
classification math.AG
keywords orthogonalgrassmannianslinearschubertspaceclassclassesclassify
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abstract

We classify rigid Schubert classes in orthogonal Grassmannians. More generally, given a representative $X$ of a Schubert class in an orthogonal Grassmannian, we give combinatorial conditions which guarantee that every linear space parametrized by $X$ meets a fixed linear space in the required dimension.

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Cited by 1 Pith paper

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  1. 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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