Work

The diagonal cycle Euler system for ${\rm GL}_2\times{\rm GL}_2$

Year: 2021

Type: preprint

Abstract: We construct an anticyclotomic Euler system for the Rankin-Selberg convolution of two modular forms, using $p$-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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2106.05322

Authors: Alonso, Raúl, Castella, Francesc, Rivero, Óscar

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4287122015

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