A conjecture of Perrin-Riou relating Heegner cycles to Beilinson-Kato elements is proved, by relating both objects to p-adic families of Beilinson-Flach elements in the higher Chow groups of products of two modular curves.
Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou / M. Bertolini, H. Darmon, R. Venerucci. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 398:(2022 Mar 26), pp. 108172.1-108172.50. [10.1016/j.aim.2021.108172]
Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou
M. BertoliniPrimo
;R. Venerucci
Ultimo
2022
Abstract
A conjecture of Perrin-Riou relating Heegner cycles to Beilinson-Kato elements is proved, by relating both objects to p-adic families of Beilinson-Flach elements in the higher Chow groups of products of two modular curves.
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