The diagonal cycle Euler system for ${\rm GL}_2\times{\rm GL}_2$
Number Theory
2023-05-18 v3
Abstract
We construct an anticyclotomic Euler system for the Rankin-Selberg convolution of two modular forms, using -adic families of generalized Gross-Kudla-Schoen diagonal cycles. As applications of this construction, we prove new cases of the Bloch-Kato conjecture in analytic ranks zero and one, and a divisibility towards an Iwasawa main conjecture.
Cite
@article{arxiv.2106.05322,
title = {The diagonal cycle Euler system for ${\rm GL}_2\times{\rm GL}_2$},
author = {Raúl Alonso and Francesc Castella and Óscar Rivero},
journal= {arXiv preprint arXiv:2106.05322},
year = {2023}
}
Comments
Revised version. To appear in J. Inst. Math. Jussieu