Pathology in divisor class groups of hypersurfaces

DOI10.1016/0022-4049(86)90098-8zbMath0591.13013OpenAlexW2075622593MaRDI QIDQ1074668

Phillip Griffith

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90098-8

zbMATH Keywords

hypersurfaceregular local ringdivisor class groupnumber of generators of the inverse of a divisorial ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Regular local rings (13H05) Divisibility and factorizations in commutative rings (13A05) General commutative ring theory (13A99)

Related Items (4)

Normal extension of regular local rings ⋮ Symbolic powers of prime ideals with applications to hypersurface rings ⋮ Arithmetic of normal Rees algebras ⋮ Some results in local rings on ramification in low codimension

Cites Work

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• Properties of Noetherian rings stable under general grade reduction
• Syzygies, ideals of height two, and vector bundles
• Bourbaki's theorem and prime ideals
• On the associated graded ring of an ideal
• The syzygy problem
• Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
• 'Jede' endliche freie Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals
• Die Sätze von Bertini für lokale Ringe
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Separable algebras over commutative rings
• Simple Bundles of Rank Three
• Symbolic powers of prime ideals and special graded algebras
• Local Cohomology Modules for Normal Domains

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