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THE DIAGONAL CYCLE EULER SYSTEM FOR $\mathrm {GL}_2\times \mathrm {GL}_2$
Published online by Cambridge University Press: 13 June 2023
Abstract
We construct an anticyclotomic Euler system for the Rankin–Selberg convolutions of two modular forms, using p-adic families of generalised Gross–Kudla–Schoen diagonal cycles. As applications of this construction, we prove new results on the Bloch–Kato conjecture in analytic ranks zero and one, and a divisibility towards an Iwasawa main conjecture.
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- Research Article
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- © The Author(s), 2023. Published by Cambridge University Press
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