论文标题

GSP(4)X GL(2)X GL(2)的P-ADIC L功能和对角线循环(2)

P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)

论文作者

Loeffler, David, Zerbes, Sarah Livia

论文摘要

我们开发了一种(很大程度上是猜想的)P-ADIC L功能的理论(在GSP(4)X GL(4)X GL(2)X GL(2)上的自称形式的中央L值插值方形根,以及这些P-ADIC L函数与Galois l-finctions与Galois clois closology classology classology classology classology classology classology classology classology classology classology classology classology class interpolating Algebraic cilecles cycles cycles cycles cycles cycles cycles。我们的理论是对Darmon和Rotger为GL(2)三乘积开发的“对角线循环”理论的概括。

We develop a (largely conjectural) theory of p-adic L-functions interpolating square roots of central L-values for automorphic forms on GSp(4) x GL(2) x GL(2), and a relation between these p-adic L-functions and families of Galois cohomology classes interpolating algebraic cycles. Our theory is a generalisation of the theory of "diagonal cycles" developed by Darmon and Rotger for the GL(2) triple product.

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