Computing rational powers of monomial ideals

DOI10.1016/j.jsc.2022.08.018zbMath1499.13067OpenAlexW4293832588MaRDI QIDQ2100043

Ethan Roy, Ethan Partida, Josiah Lim, Alexandra Seceleanu, Tingting Tang, Dylan Ruff, Pratik Dongre, Benjamin Drabkin

Publication date: 21 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2022.08.018

zbMATH Keywords

Newton polyhedronmonomial idealscomputational algebrajumping numbersrational powers

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items (1)

Integral closures of powers of sums of ideals

Uses Software

• Macaulay2
• 4ti2
• LattE

Cites Work

• Unnamed Item
• Balanced normal cones and Fulton-MacPherson's intersection theory
• Rees valuations and asymptotic primes of rational powers in noetherian rings and lattices
• Derivations and rational powers of ideals
• Effective lattice point counting in rational convex polytopes
• Decompositions of Monomial Ideals in Real Semigroup Rings
• Symbolic Powers of Monomial Ideals
• INTEGRAL CLOSURE OF STRONGLY GOLOD IDEALS
• Krull Dimension of Monomial Ideals in Polynomial Rings with Real Exponents
• Limit behavior of the rational powers of monomial ideals

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