On the Canonical Ideals of One-Dimensional Cohen–Macaulay Local Rings

DOI10.1017/S0013091514000418zbMath1351.13016arXiv1309.5193OpenAlexW2962744633MaRDI QIDQ5743621

Juan Elias

Publication date: 5 February 2016

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

Full work available at URL: https://arxiv.org/abs/1309.5193

zbMATH Keywords

Cohen-MacaulayGorensteincanonical idealHilbert-Samuel function

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

On one-dimensional local rings and Berger’s conjecture ⋮ The bi-canonical degree of a Cohen-Macaulay ring ⋮ Sally modules of canonical ideals in dimension one and 2-AGL rings

Cites Work

• The Milnor number and deformations of complex curve singularities
• On graded rings. I
• On the analytic equivalence of curves
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Gorenstein Artin Algebras and Points in Projective Space
• Associated graded algebra of a Gorenstein Artin algebra
• The reduction number of a one‐dimensional local ring

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