In:
Nagoya Mathematical Journal, Cambridge University Press (CUP), Vol. 198 ( 2010-06), p. 47-75
Abstract:
Let X be a complete, geometrically irreducible, singular, algebraic curve defined over a field of characteristic p big enough. Given a local ring O p,x at a rational singular point P of X , we attached a universal zeta function which is a rational function and admits a functional equation if O p,x is Gorenstein. This universal zeta function specializes to other known zeta functions and Poincaré series attached to singular points of algebraic curves. In particular, for the local ring attached to a complex analytic function in two variables, our universal zeta function specializes to the generalized Poincaré series introduced by Campillo, Delgado, and Gusein-Zade.
Type of Medium:
Online Resource
ISSN:
0027-7630
,
2152-6842
DOI:
10.1215/00277630-2009-007
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2010
detail.hit.zdb_id:
2186888-8
SSG:
17,1
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