Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution

DOI10.2977/prims/1195172704zbMath0725.13003OpenAlexW1991840423MaRDI QIDQ2277522

Masataka Tomari, Kei- ichi Watanabe

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195172704

zbMATH Keywords

local cohomologyisolated singularitydivisor class groupgood filtrationRees ringsurface singularitiescanonical modulesfiltered blowing-uphomological theory of filtrationsingularities with star-shaped resolution

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Deformations and infinitesimal methods in commutative ring theory (13D10) Étale and flat extensions; Henselization; Artin approximation (13B40)

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