Coleman 族中广义 Heegner 圈的插值
数论
2021-06-18 v2
摘要
Kobayashi 近期证明了 Bertolini--Darmon--Prasanna 的广义 Heegner 圈可沿反 cyclotomic 塔进行插值，从而得到具有预期增长率的取分布值的上同调类。我们沿 Coleman 族对这些类进行插值。该构造在非普通特征形式的 进 Gross--Zagier 公式的证明中发挥作用，并因此也在 Perrin-Riou 猜想的证明中发挥作用。
引用
@article{arxiv.1907.04086,
title = {Interpolation of Generalized Heegner Cycles in Coleman Families},
author = {Kazim Büyükboduk and Antonio Lei},
journal= {arXiv preprint arXiv:1907.04086},
year = {2021}
}
备注
Several sections have been expanded and rewritten. We have added Appendix B, which discusses the interpolation of generalized Heegner cycles over wide-open discs and will serve as an addendum to the published version of the article