Schubert geometry and combinatorics

Alexander Woo; Alexander Yong

Schubert geometry and combinatorics

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arxiv 2303.01436 v1 pith:JGFNQ6A3 submitted 2023-03-02 math.AG math.ACmath.CO

Alexander Woo , Alexander Yong This is my paper · ORCID

classification math.AGmath.ACmath.CO

keywords schubertchapterclassifycombinatoriallycombinatoricscombinesdeterminantsfamily

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This chapter combines an introduction and research survey about Schubert varieties. The theme is to combinatorially classify their singularities using a family of polynomial ideals generated by determinants.

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Richardson tableaux and Schubert positivity
math.CO 2025-10 conditional novelty 7.0 of 10

The Schubert cycle expansion of a Springer fiber component equal to a Richardson variety, indexed by a Richardson tableau, is computed combinatorially using translation-equivalent Bruhat intervals and Sottile's Pieri rule.

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