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A note on relative dimensions of rings and conductors in function fields

✍ Scribed by Arnaldo Garcia

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 402 KB
Volume: 119
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00022-9

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✦ Synopsis

Let .A be the local ring at a curve singularity and let .Y be a ring such that 2 C Y C 2, where 2 denotes the integral closure of F# in its field of fractions. Let (2: 9) denote the conductor of .Y in 2. We compare here the dimensions (over the base field) of Y/J%? and &, We relate this with the intersection numbers of branches at the singularity. @

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