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

Published online by Cambridge University Press:  22 January 2016

Dario Portelli  and
Walter Spangher
Dario Portelli
Affiliation:
Dipartimento di Scienze matematiche, Università degli Studi di Trieste, Piazzale Europa n. 1, 34100 — TRIESTE, Italy
Walter Spangher
Affiliation:
Dipartimento di Scienze matematiche, Università degli Studi di Trieste, Piazzale Europa n. 1, 34100 — TRIESTE, Italy
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Let A be a noetherian ring and let I be an ideal of A contained in the Jacobson radical of A: Rad (A). We assume that the form ring of A with respect to the ideal I: G = Gr (A, I), is a normal integral domain. Hence A is a normal integral domain and one can ask for the links between Cl(A) and Cl(G).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 110 , June 1988 , pp. 137 - 149
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

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