The fiber cone of a monomial ideal in two variables

DOI10.1016/j.jsc.2018.06.022zbMath1430.13047arXiv1711.08775OpenAlexW2964049788MaRDI QIDQ2422703

Maryam Mohammadi Saem, Ayesha Asloob Qureshi, Jürgen Herzog

Publication date: 20 June 2019

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08775

zbMATH Keywords

monomial idealsprojective monomial curvesfiber cones

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

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Unnamed Item ⋮ Monomial ideals with tiny squares and Freiman ideals ⋮ t-Spread strongly stable monomial ideals* ⋮ On the fiber cone of monomial ideals

Cites Work

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• On monomial curves and Cohen-Macaulay type
• On the Cohen-Macaulayness of the coordinate ring of certain projective monomial curves
• Monomial ideals with tiny squares
• Defining ideals of cohen-macaulay semigroup rings
• Basisbestimmung Veronesescher Projektionsideale mit allgemeiner Nullstelle (t0m, t0m–rt1r, t0m–st1s, t1m)

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