A Gröbner Basis for Certain Affine Monomial Curves

DOI10.1081/AGB-120017757zbMath1014.13009MaRDI QIDQ4802429

Indranath Sengupta

Publication date: 14 April 2003

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

zbMATH Keywords

monomial curveGröbner basis for defining ideal

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of algebraic curves (14Q05) Curves in algebraic geometry (14H99)

Related Items (11)

Bases and Ideal Generators for Projective Monomial Curves ⋮ Affine monomial curves ⋮ Smoothability and order bound for AS semigroups. ⋮ Minimal graded free resolutions for monomial curves in 𝔸⁴defined by almost arithmetic sequences ⋮ Deformations and smoothability of certain AS monomial curves ⋮ On the smoothness of blowups for certain monomial curves ⋮ A Minimal Free Resolution for Certain Monomial Curves in 𝔸⁴ ⋮ The Ratliff-Rush closure of initial ideals of certain prime ideals ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves ⋮ Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof ⋮ On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴

Cites Work

• Generators for the derivation modules and the relation ideals of certain curves
• Syzygies of codimension 2 lattice ideals
• Minimal sets of generators for the relation ideals of certain monomial curves
• Equations of monomial varieties in codimension two
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