Castelnuovo-Mumford regularity of matrix Schubert varieties

DOI10.1007/S00029-024-00959-XzbMATH Open1542.14062MaRDI QIDQ6574269

David E Speyer, Anna E. Weigandt, Oliver Pechenik

Publication date: 18 July 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

Castelnuovo-Mumford regularityweak Bruhat orderMajor indexGrothendieck polynomialmatrix Schubert varietyRajchgot index

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• A two-sided analogue of the Coxeter complex
• Schubert varieties are arithmetically Cohen-Macaulay
• Gröbner geometry of Schubert polynomials
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• The Prism tableau model for Schubert polynomials
• A Pieri formula in the Grothendieck ring of a flag bundle
• Derivatives of Schubert polynomials and proof of a determinant conjecture of Stanley
• Bumpless pipe dreams and alternating sign matrices
• Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties
• On the \(F\)-rationality and cohomological properties of matrix Schubert varieties
• Matrix Schubert varieties and Gaussian conditional independence models
• Principles of combinatorics
• Symmetric functions, Schubert polynomials and degeneracy loci. Transl. from the French by John R. Swallow
• Toric matrix Schubert varieties and their polytopes
• The On-Line Encyclopedia of Integer Sequences
• On the Dual Graphs of Cohen–Macaulay Algebras
• How often are two permutations comparable?
• Gröbner geometry of vertex decompositions and of flagged tableaux
• RC-Graphs and Schubert Polynomials
• Grothendieck polynomials via permutation patterns and chains in the Bruhat order
• Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity
• Gröbner geometry of Schubert polynomials through ice
• Generalized pattern avoidance

Related Items (3)

Constructing maximal pipedreams of double Grothendieck polynomials ⋮ Proof of a conjectured Möbius inversion formula for Grothendieck polynomials ⋮ An inverse Grassmannian Littlewood-Richardson rule and extensions

This page was built for publication: Castelnuovo-Mumford regularity of matrix Schubert varieties

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6574269)