A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist I

被引：0
作者：
Kobayashi, Shinichi [1 ]
机构：
[1] Kyushu Univ, Fac Math, 744 Motooka,Nishi Ku, Fukuoka 8190395, Japan
来源：
ANNALES MATHEMATIQUES DU QUEBEC | 2023年 / 47卷 / 01期
关键词：
Primary; 11R23; Secondary; 11G40; 11F11; 11G15; 11F67; 11F85; ELLIPTIC-CURVES; IWASAWA THEORY; ABELIAN-VARIETIES; REPRESENTATIONS; SERIES; FIELDS;
D O I：
10.1007/s40316-023-00213-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we develop an integral refinement of the Perrin-Riou theory of exponential maps. We also formulate the Perrin-Riou theory for anticyclotomic deformation of modular forms in terms of the theory of the Serre-Tate local moduli and interpolate generalized Heegner cycles p-adically.
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页码：73 / 116
页数：44
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