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On the irreducibility of the two variable zeta-function for curves over finite fields

โœ Scribed by Niko Naumann


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
89 KB
Volume
336
Category
Article
ISSN
1631-073X

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Let f (x, y) be a polynomial defined over Z in two variables of total degree d 2, and let Vp=[(x, y) # C p : f(x, y)#0 (mod p)] for each prime p, where C p = [(x, y) # Z 2 : 0 x<p and 0 y<p]. In this paper, we show that if f (x, y) is absolutely irreducible modulo p for all sufficiently large p, the