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Covered deformations and curve singularities

✍ Scribed by Richard Bassein


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
384 KB
Volume
48
Category
Article
ISSN
0021-8693

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Let X be a complete singular algebraic curve defined over a finite field of q elements. To each local ring O of X there is associated a zeta-function `O(s) that encodes the numbers of ideals of given norms. It splits into a finite sum of partial zeta-functions, which are rational functions in q &s .