On the divisor class groups of a two-dimensional local ring and its form ring

DOI10.1017/S0027763000002919zbMath0616.13001OpenAlexW1591961808MaRDI QIDQ4724734

Walter Spangher, Dario Portelli

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000002919

zbMATH Keywords

extended Rees algebraform ringdivisor class groups of a two-dimensional local ringlocal cohomology theory

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Ideals and multiplicative ideal theory in commutative rings (13A15) Local cohomology and algebraic geometry (14B15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Cites Work

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• On Serre's conditions in the form ring of an ideal
• Reflexive modules and algebra class groups over noetherian integrally closed domains
• Criteri di semifattorialita e di fattorialita per gli anelli locali con applicazioni geometriche
• Primary powers of a prime ideal
• Einige Beispiele faktorieller lokaler Ringe
• Rings with Discrete Divisor Class Group: Theorem of Danilov-Samuel
• Nonprefactorial Local Rings
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• ON A CONJECTURE OF SAMUEL
• RINGS WITH A DISCRETE GROUP OF DIVISOR CLASSES

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