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Gröbner bases of powers of ideals of maximal minors

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Publication:1373277
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DOI10.1016/S0022-4049(96)00061-8zbMath0899.13013MaRDI QIDQ1373277

Aldo Conca

Publication date: 8 November 1998

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


zbMATH Keywords

determinantal idealsGröbner basismonomialsHilbert series


Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)


Related Items (3)

Products of Borel fixed ideals of maximal minors ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ Broken circuit complexes and hyperplane arrangements



Cites Work

  • Combinatorics of maximal minors
  • The irreducibility of ladder determinantal varieties
  • On superG-bases
  • Determinantal rings
  • Gröbner bases and multiplicity of determinantal and Pfaffian ideals
  • Gröbner bases of ideals of minors of a symmetric matrix
  • Gröbner bases and Stanley decompositions of determinantal ideals
  • Permutations, matrices, and generalized Young tableaux
  • Ideals of generic minors
  • Algorithms in invariant theory
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