Geodesic
Eisenstein congruences among Euler systems
Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 425-446

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DOI

We investigate Eisenstein congruences between the so-called Euler systems of Garrett–Rankin–Selberg type. This includes the cohomology classes of Beilinson–Kato, Beilinson–Flach, and diagonal cycles. The proofs crucially rely on different known versions of the Bloch–Kato conjecture, and are based on the study of the Perrin-Riou formalism and the comparison between the different p-adic L-functions.
DOI : 10.4153/S0008439523000863
Mots-clés : Eisenstein series, congruences, Euler systems, p-adic L-functions, Artin formalism 
Rivero, Ó.; Rotger, V. Eisenstein congruences among Euler systems. Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 425-446. doi: 10.4153/S0008439523000863
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     author = {Rivero, \'O. and Rotger, V.},
     title = {Eisenstein congruences among {Euler} systems},
     journal = {Canadian mathematical bulletin},
     pages = {425--446},
     year = {2024},
     volume = {67},
     number = {2},
     doi = {10.4153/S0008439523000863},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000863/}
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