Big Heegner points and generalized Heegner cycles
Big Heegner points and generalized Heegner cycles
复制标题
大海格纳点和广义海格纳循环
DOI：
10.1016/j.jnt.2019.08.005
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发表时间：
2020
影响因子：
0.7
通讯作者：
Ota Kazuto
中科院分区：
文献类型：
--
作者：
Kazuto Ota;Shinichi Kobayashi;小林真一;Ota Kazuto
对于附加在椭圆尖形的希达族上的大伽罗瓦表示，霍华德构造了大Heegner点系.另一方面，对于尖形的伽罗瓦表示，有广义Heegner圈的欧拉系统，由Bertolini-Darmon-Prasanna构造。Castella最近证明了大Heegner点系插值广义Heegner圈系。在本文中，通过不同的方法，我们略有改进他的工作。
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.