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- W2892334447 abstract "Let A an abelian variety of dimension r , defined over Q . For p a rational prime, we denote by F p the finite field of cardinality p . If A has good reduction at p , let A ¯ p be the reduction of A at p . Let Γ be a free subgroup of the Mordell–Weil group A ( Q ) , and let Γ p be the reduction of Γ at p . In this paper for abelian varieties of type I, II, III, and IV, under Generalized Riemann Hypothesis, Artin's Holomorphy Conjecture, and Pair Correlation Conjecture, we obtain asymptotic formulas for the number of primes p , with p ≤ x , for which the quotient A ¯ p ( F p ) Γ p has at most 2 r − 1 cyclic components." @default.
- W2892334447 created "2018-09-27" @default.
- W2892334447 creator A5061541700 @default.
- W2892334447 date "2019-04-01" @default.
- W2892334447 modified "2023-09-24" @default.
- W2892334447 title "Cyclic components of quotients of abelian varieties mod p" @default.
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- W2892334447 doi "https://doi.org/10.1016/j.jnt.2018.08.005" @default.
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