Good ideals and \(p_g\)-ideals in two-dimensional normal singularities

DOI10.1007/s00229-016-0821-7zbMath1354.13011arXiv1407.1590OpenAlexW1769623969MaRDI QIDQ309280

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

Publication date: 7 September 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1590

zbMATH Keywords

rational singularities\(p_g\)-cycles\(p_g\)-ideals

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (11)

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 ⋮ 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

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