On linear resolution of powers of an ideal

zbMath1183.13016arXiv0810.1017MaRDI QIDQ847007

Keivan Borna

Publication date: 10 February 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1017

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

A remark on regularity of powers and products of ideals ⋮ The stable set of associated prime ideals of a polymatroidal ideal ⋮ Monomial ideals with primary components given by powers of monomial prime ideals ⋮ Stabilization of Betti tables ⋮ Fiber invariants of projective morphisms and regularity of powers of ideals ⋮ On the regularity and defect sequence of monomial and binomial ideals

Uses Software

• CoCoA

Cites Work

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• Linear free resolutions and minimal multiplicity
• Homological properties of bigraded algebras
• Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions
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• The Geometry of Syzygies
• Monomial ideals whose powers have a linear resolution
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Lectures on Curves on an Algebraic Surface. (AM-59)