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Scarf lattice ideals

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Publication:658571
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DOI10.4171/PM/1896zbMath1236.13015MaRDI QIDQ658571

Hossein Sabzrou

Publication date: 13 January 2012

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)


zbMATH Keywords

lattice idealsminimal free resolutionsScarf complexesScarf ideals


Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02)


Related Items (1)

Counterexamples for Cohen–Macaulayness of lattice ideals


Uses Software

  • CoCoA


Cites Work

  • Unnamed Item
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  • Unnamed Item
  • Syzygies of codimension 2 lattice ideals
  • Face numbers of scarf complexes
  • Gröbner bases of toric varieties
  • Initial complexes of prime ideals
  • Rationality for generic toric rings
  • Matrices defining Gorenstein lattice ideals
  • Matrices with Identical Sets of Neighbors
  • Notes onC-Graded Modules Over an Affine Semigroup RingK[C]
  • $F_{\Delta }$ type free resolutions of monomial ideals
  • Generic lattice ideals


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