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The distribution and growth of the elementary divisors of the reductions of an elliptic curve over a function field

✍ Scribed by Alina Carmen Cojocaru; Árpád Tóth


Book ID
113731088
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
194 KB
Volume
132
Category
Article
ISSN
0022-314X

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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