DetGB: a software package for computing Gröbner bases of determinantal ideals

DOI10.1007/978-3-031-64529-7_36MaRDI QIDQ6637832

Yutong Zhou, Chenqi Mou, Qiuye Song

Publication date: 13 November 2024

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

• On the complexity of the generalized MinRank problem
• Combinatorics of maximal minors
• Gröbner geometry of Schubert polynomials
• Mixed ladder determinantal varieties from two-sided ladders
• The irreducibility of ladder determinantal varieties
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Gröbner bases and Stanley decompositions of determinantal ideals
• Gröbner geometry of vertex decompositions and of flagged tableaux
• Determinants, Gröbner Bases and Cohomology
• Results on the algebraic matroid of the determinantal variety

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