DETERMINANTAL IDEALS AND MONOMIAL CURVES IN THE THREE-DIMENSIONAL SPACE

DOI10.1142/S0219498807002272zbMath1111.13013arXivmath/0511291OpenAlexW3103464577MaRDI QIDQ3442752

Margherita Barile

Publication date: 23 May 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511291

zbMATH Keywords

determinantal idealscomplete intersectionsbinomial idealsmonomial curves

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Linkage, complete intersections and determinantal ideals (13C40) Plane and space curves (14H50)

Cites Work

• Certain monomial curves are set-theoretic complete intersections
• On liaison, arithmetical Buchsbaum curves and monomial curves in \(\mathbb P^3\)
• Determinantal rings
• Arithmetical ranks of ideals associated to symmetric and alternating matrices
• On the set-theoretic complete intersection problem for monomial curves in \(\mathbb{A}^ n\) and \(\mathbb{P}^ n\)
• Set-theoretic complete intersections on binomials
• Ideals defined by matrices and a certain complex associated with them
• Complete intersections in toric ideals
• On the equations defining projective monomial curves
• The Number of Equations Defining a Determinantal Variety