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Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field

โœ Scribed by V. G. Drinfel'd


Publisher
Springer US
Year
1982
Tongue
English
Weight
171 KB
Volume
15
Category
Article
ISSN
0016-2663

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The Distribution of Zeros of an Irreduci
โœ Zhiyong Zheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB

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