Bases and Ideal Generators for Projective Monomial Curves

DOI10.1080/00927872.2010.526678zbMath1238.14020OpenAlexW2081252814MaRDI QIDQ2881055

Leslie G. Roberts, Ping Li, Dilip P. Patil

Publication date: 3 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.526678

zbMATH Keywords

semigrouparithmetic progressionset-theoretic complete intersectionideal generatorsprojective monomial curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Complete intersections (14M10) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items

Minimal graded free resolutions for monomial curves defined by arithmetic sequences, The Cohen-Macaulay property of affine semigroup rings in dimension 2, Algebraic invariants of projective monomial curves associated to generalized arithmetic sequences, Noether resolutions in dimension 2, Algebraic invariants of certain projective monomial curves

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
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• Certain monomial curves are set-theoretic complete intersections
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• Hilbert functions of monomial curves
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• Syzygies of affine toric varieties
• Über Veronesesche Varietäten und deren Projektionen
• Generators and relations of abelian semigroups and semigroup rings
• Non-Cohen-Macaulay projective monomial curves.
• Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof
• A Gröbner Basis for Certain Affine Monomial Curves