Rees algebras and $p_g$-ideals in a two-dimensional normal local domain

DOI10.1090/proc/13235zbMath1357.13011arXiv1511.00827OpenAlexW2962900506MaRDI QIDQ2832805

Ken-ichi Yoshida, Tomohiro Okuma, Kei- ichi Watanabe

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1511.00827

zbMATH Keywords

Rees algebrarational singularityCohen-Macaulaynormal Hilbert coefficientpg-ideal

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (12)

NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES ⋮ Cohomology of ideals in elliptic surface singularities ⋮ On 𝑝_{𝑔}-ideals in positive characteristic ⋮ On the structure of the Sally module and the second normal Hilbert coefficient ⋮ A characterization of two-dimensional rational singularities via core of ideals ⋮ The strong Rees property of powers of the maximal ideal and Takahashi-Dao's question ⋮ Almost Gorenstein Rees algebras of pg-ideals, good ideals, and powers of the maximal ideals ⋮ Normal reduction numbers for normal surface singularities with application to elliptic singularities of Brieskorn type ⋮ The normal reduction number of two-dimensional cone-like singularities ⋮ The multiplicity and the number of generators of an integrally closed ideal ⋮ The Abel map for surface singularities I: Generalities and examples ⋮ Normal Reduction Numbers of Normal Surface Singularities

Cites Work

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• Some remarks concerning Demazure’s construction of normal graded rings
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• Form rings and regular sequences
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Joint reductions and Rees algebras
• Normal surface singularities with \(\mathbb{C}^*\) action

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