Normal \(\mathbb{Z}_ r\)-graded rings and normal cyclic covers

DOI10.1007/BF02567764zbMath0780.13001MaRDI QIDQ1803001

Masataka Tomari, Kei- ichi Watanabe

Publication date: 29 June 1993

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

Full work available at URL: https://eudml.org/doc/155757

zbMATH Keywords

isolated singularitydivisorial idealfractional divisornoetherian graded domainnormal cyclic coversnormal graded rings

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Graded rings (13A02)

Related Items (12)

Cyclic covers of rings with rational singularities ⋮ Fundamental groups of $F$-regular singularities via $F$-signature ⋮ Surface Singularities, Seiberg–Witten Invariants of Their Links and Lattice Cohomology ⋮ Compatible ideals in ℚ-Gorenstein rings ⋮ Semidualizing modules and rings of invariants ⋮ A variant of Wang's theorem ⋮ Gorenstein modifications and \mathds{𝑄}-Gorenstein rings ⋮ Geometric interpretation of tight closure and test ideals ⋮ The multiplier ideal is a universal test ideal ⋮ Connections on modules over singularities of finite CM representation type ⋮ Hilbert-Kunz multiplicity and an inequality between multiplicity and colength ⋮ Applications of pseudocanonical covers to tight closure problems

Cites Work

• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Some remarks concerning Demazure’s construction of normal graded rings
• Equations defining rational singularities
• Unnamed Item

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