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Showing 2003 · math.NTShow all
3 papers · 2 filters
math.NT2003
On Atkin-Swinnerton-Dyer congruence relations
Wen-Ching Winnie Li, Ling Long, Zifeng Yang
In this paper we exhibit a noncongruence subgroup $\G$ whose space of weight 3 cusp forms $S_3(\G)$ admits a basis satisfying the Atkin-Swinnerton-Dyer congruence relations with tw…
math.NT2003
The Tate Conjecture for Powers of Ordinary Cubic Fourfolds Over Finite Fields
Yuri G. Zarhin
Recently N. Levin (Comp. Math. 127 (2001), 1--21) proved the Tate conjecture for ordinary cubic fourfolds over finite fields. In this paper we prove the Tate conjecture for self-pr…
math.NT2003
Non-isogenous superelliptic jacobians
Yuri G. Zarhin
In his previous papers (J. reine angew. Math. 544 (2002), 91--110; math.AG/0103203) the author introduced a certain explicit construction of superelliptic jacobians, whose endomorp…