On the reduction numbers and the Castelnuovo–Mumford regularity of projective monomial curves

DOI10.1142/S0219498823500822MaRDI QIDQ5882581

Tran Thi Gia Lam

Publication date: 17 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08099

zbMATH Keywords

Cohen-Macaulay ringCastelnuovo-Mumford regularityreduction numbermonomial curvesBuchsbaum ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Singularities of curves, local rings (14H20) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Cites Work

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• Noether resolutions in dimension 2
• On a theorem of Castelnuovo, and the equations defining space curves
• Castelnuovo-Mumford regularity of projective monomial varieties of codimension two
• On inflection points, monomial curves, and hypersurfaces containing projective curves
• Castelnuovo-Mumford regularity and the reduction number of some monomial curves
• Castelnuovo-Mumford regularity and related invariants
• Projections of One-Dimensional Veronese Varieties
• Reduction numbers for ideals of higher analytic spread
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• The Castelnuovo regularity of the Rees algebra and the associated graded ring