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Big Heegner points and generalized Heegner cycles
Journal of Number Theory ( IF 0.7 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.jnt.2019.08.005
Kazuto Ota

Abstract For big Galois representations attached to Hida families of elliptic cuspforms, Howard constructed the systems of big Heegner points. On the other hand, for Galois representations attached to cuspforms, there are Euler systems of generalized Heegner cycles, which are constructed by Bertolini-Darmon-Prasanna. Castella recently proved that the systems of big Heegner points interpolate the systems of generalized Heegner cycles. In this paper, by a different approach we slightly improve his work.

中文翻译:

Big Heegner 点和广义 Heegner 循环

摘要 对于附加到椭圆尖形 Hida 族的大伽罗瓦表示,霍华德构造了大 Heegner 点系统。另一方面,对于附加到 cuspforms 的 Galois 表示,存在由 Bertolini-Darmon-Prasanna 构造的广义 Heegner 循环的欧拉系统。Castella 最近证明了大 Heegner 点系统内插了广义 Heegner 循环系统。在本文中,我们通过不同的方法稍微改进了他的工作。
更新日期:2020-03-01
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