Results on the algebraic matroid of the determinantal variety
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Publication:6186135
DOI10.1090/tran/9055arXiv2002.05082OpenAlexW3033622892MaRDI QIDQ6186135
Publication date: 9 January 2024
Full work available at URL: https://arxiv.org/abs/2002.05082
Cites Work
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- Local cohomology with support in generic determinantal ideals
- Stiefel tropical linear spaces
- Combinatorics of maximal minors
- Linear spaces, transversal polymatroids and ASL domains
- The irreducibility of ladder determinantal varieties
- Determinantal rings
- Syzygies des variétés déterminantales
- Hankel determinantal rings have rational singularities
- Lovász-Saks-Schrijver ideals and coordinate sections of determinantal varieties
- Maximal minors and their leading terms
- Gröbner bases and Stanley decompositions of determinantal ideals
- Initial complexes of prime ideals
- Free resolutions and sparse determinantal ideals
- Matching fields and lattice points of simplices
- Completion of tree metrics and rank 2 matrices
- Submodular functions and optimization.
- Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
- Ideals defined by matrices and a certain complex associated with them
- Strongly Cohen-Macaulay Schemes and Residual Intersections
- Linear Sections of Determinantal Varieties
- The tropical Grassmannian
- Universal Gröbner Bases and Cartwright–Sturmfels Ideals
- Algebraic Matroids in Action
- Ideals, Varieties, and Algorithms
- Universal Grobner Bases for Maximal Minors
- Transversals and matroid partition
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
- The Algebraic Combinatorial Approach for Low-Rank Matrix Completion
- Determinants, Gröbner Bases and Cohomology
