Gröbner geometry for regular nilpotent Hessenberg Schubert cells

DOI10.1016/j.jpaa.2024.107648arXiv2305.19335MaRDI QIDQ6198286

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Publication date: 20 March 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.19335

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

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• Hessenberg varieties, Slodowy slices, and integrable systems
• Frobenius Splitting in Commutative Algebra
• Gröbner geometry of vertex decompositions and of flagged tableaux
• Hessenberg Varieties
• Geometric vertex decomposition and liaison
• Ideals, Varieties, and Algorithms
• Properties of Gröbner bases under specializations
• The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A

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