Maximal generating degrees of powers of homogeneous ideals

DOI10.1007/s40306-021-00469-4zbMath1486.13030arXiv2108.08564OpenAlexW3194592413MaRDI QIDQ2126106

Lê Tuân Hoa

Publication date: 14 April 2022

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.08564

zbMATH Keywords

monomial idealCastelnuovo-Mumford regularitymaximal generating degrees

Mathematics Subject Classification ID

Integer programming (90C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of commutative algebra (05E40)

Related Items (2)

Maximal generating degrees of integral closures of powers of monomial ideals ⋮ Regularity of powers of cover ideals of bipartite graphs

Cites Work

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• On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals
• Reduction numbers of ideals
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• Maximal generating degrees of integral closures of powers of monomial ideals
• Regularity defect stabilization of powers of an ideal
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• On multigraded resolutions
• On the initial behaviour of the number of generators of powers of monomial ideals
• The number of generators of the powers of an ideal
• Regularity stabilization for the powers of graded $\operatorname {\frak {M}}$-primary ideals
• Notes on regularity stabilization
• Depth functions of powers of homogeneous ideals

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