A Gröbner basis for Schubert patch ideals

DOI10.1016/j.jalgebra.2023.06.039arXiv2111.13778OpenAlexW3216422773MaRDI QIDQ6052909

Emmanuel Neye

Publication date: 25 September 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.13778

zbMATH Keywords

Gröbner basisSchubert varietiesvertex decomposableKazhdan-Lusztig idealGlicciSchubert determinantal idealSchubert patch ideal

Mathematics Subject Classification ID

Complete intersections (14M10) Computational aspects and applications of commutative rings (13Pxx) Algebraic combinatorics (05Exx)

Cites Work

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• T-equivariant K-theory of generalized flag varieties
• Gröbner geometry of Schubert polynomials
• Governing singularities of Schubert varieties
• Mixed ladder determinantal varieties from two-sided ladders
• Schubert patches degenerate to subword complexes
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Patch ideals and Peterson varieties
• Generalized divisors and biliaison
• Gröbner bases via linkage
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• A Gröbner basis for Kazhdan-Lusztig ideals
• Symmetric ladders and G-biliaison
• Gröbner bases and the Cohen-Macaulay property of Li’s double determinantal varieties
• Geometric vertex decomposition and liaison

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