Multi-Rees algebras and toric dynamical systems

DOI10.1090/proc/14579zbMath1429.13006arXiv1806.08184OpenAlexW2963245705WikidataQ127879557 ScholiaQ127879557MaRDI QIDQ5234956

David A. Cox, Gabriel Sosa, Kuei-Nuan Lin

Publication date: 7 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08184

zbMATH Keywords

dynamical systemschemical reactionstoric idealsRees algebras

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Systems biology, networks (92C42) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (10)

Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals ⋮ Toric ideals of weighted oriented graphs ⋮ Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers ⋮ Multi-Rees algebras of strongly stable ideals ⋮ Rees algebras of unit interval determinantal facet ideals ⋮ Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams ⋮ Koszul multi-Rees algebras of principal \(L\)-Borel ideals ⋮ Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules ⋮ ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS ⋮ Blow-up algebras of secant varieties of rational normal scrolls

Cites Work

• Algebro-geometric characterization of Cayley polytopes
• Toric dynamical systems
• Equations defining the multi-Rees algebras of powers of an ideal
• Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry
• The implicitization problem for \(\phi : \mathbb P^n \longrightarrow (\mathbb P^1)^{n+1}\)
• Classifying smooth lattice polytopes via toric fibrations
• Cohen–Macaulayness of Rees Algebras of Modules
• Biochemical reaction networks: An invitation for algebraic geometers
• Linear Resolutions of Powers and Products

This page was built for publication: Multi-Rees algebras and toric dynamical systems