Castelnuovo-Mumford regularity and reduction number of smooth monomial curves in $\mathbb{P}^{5}$

DOI10.1090/S0002-9939-2012-10934-7zbMath1286.13019OpenAlexW2097431661MaRDI QIDQ2845718

Max Joachim Nitsche

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-10934-7

zbMATH Keywords

Castelnuovo-Mumford regularityEisenbud-Goto conjectureReduction numberSmooth monomial curves

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings ⋮ Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves ⋮ An algorithm for the normal bundle of rational monomial curves

Uses Software

• MonomialAlgebras

Cites Work

• Linear free resolutions and minimal multiplicity
• On a theorem of Castelnuovo, and the equations defining space curves
• Castelnuovo-Mumford regularity of simplicial toric rings.
• On inflection points, monomial curves, and hypersurfaces containing projective curves
• Castelnuovo-Mumford regularity and the reduction number of some monomial curves
• The Geometry of Syzygies

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