Castelnuovo-Mumford regularity and Ratliff-Rush closure

DOI10.1016/j.jalgebra.2018.02.027zbMath1412.13015arXiv1512.04372OpenAlexW2963392803WikidataQ130140727 ScholiaQ130140727MaRDI QIDQ1644850

Maria Evelina Rossi, Dinh Thanh Trung, Ngô Viêt Trung

Publication date: 22 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04372

zbMATH Keywords

Rees algebraCastelnuovo-Mumford regularityreduction numbersuperficial sequenceRatliff-Rush closurefiber ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

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Regularity comparison of fiber cone and associated graded ring ⋮ Tight and adjusted equigenerated sequences, and the special fiber ⋮ On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length ⋮ Powers of monomial ideals and the Ratliff-Rush operation ⋮ Powers of monomial ideals and the Ratliff-Rush operation ⋮ On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring ⋮ Asymptotic behavior of coefficient ideals ⋮ ON THE CONJECTURE OF VASCONCELOS FOR ARTINIAN ALMOST COMPLETE INTERSECTION MONOMIAL IDEALS

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