The divisor class group of surfaces of embedding dimension 3

DOI10.1016/0021-8693(88)90081-6zbMath0671.13010OpenAlexW2037765965MaRDI QIDQ1119699

Sang-Ki Choi

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90081-6

zbMATH Keywords

divisor class group3-dimensional regular local ringfactorial quotient ring

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05) Formal power series rings (13F25)

Related Items (1)

Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings

Cites Work

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• Anelli con unica decomponibilita in fattori primi ed un problema di intersezioni complete
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Über Primfaktorzerlegung in zweidimensionalen lokalen Ringen
• Einige Beispiele faktorieller lokaler Ringe
• Über die Divisorenklassengruppen lokaler Ringe auf zweidimensionalen normalen Hyperflächen
• Rational singularities, with applications to algebraic surfaces and unique factorization
• On unique factorization domains

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