Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity

DOI10.1090/proc/15294zbMath1479.13015arXiv1912.04477OpenAlexW3069162551MaRDI QIDQ5858370

Jenna Rajchgot, Colleen Robichaux, Avery St. Dizier, Yi Ren, Anna E. Weigandt

Publication date: 13 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04477

zbMATH Keywords

Schubert varietyCastelnuovo-Mumford regularityGrothendieck polynomial

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Classical problems, Schubert calculus (14N15) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Regularity of matrix Schubert varieties ⋮ Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties ⋮ An orthodontia formula for Grothendieck polynomials

Uses Software

• Macaulay2

Cites Work

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• Gröbner geometry of Schubert polynomials
• Free resolutions of some Schubert singularities
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Syzygies des variétés déterminantales
• Subword complexes in Coxeter groups.
• Combinatorial aspects of the \(K\)-theory of Grassmannians
• A Gröbner basis for Kazhdan-Lusztig ideals
• On the Dual Graphs of Cohen–Macaulay Algebras

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