149801 20251017144645.0 doi 10.1515/forum-2017-0008 sideral 142201 ART-2018-142201 eng Elias, Yara CM cycles on Kuga–Sato varieties over Shimura curves and Selmer groups 2018 Access copy available to the general public Unrestricted Given a modular form f of even weight larger than two and an imaginary quadratic field K satisfying a relaxed Heegner hypothesis, we construct a collection of CM cycles on a Kuga–Sato variety over a suitable Shimura curve which gives rise to a system of Galois cohomology classes attached to f enjoying the compatibility properties of an Euler system. Then we use Kolyvagin’s method, as adapted by Nekovář to higher weight modular forms, to bound the size of the relevant Selmer group associated to f and K and prove the finiteness of the (primary part) of the Shafarevich–Tate group, provided that a suitable cohomology class does not vanish. info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 0.867 2018 MATHEMATICS 120 / 313 = 0.383 2018 Q2 T2 MATHEMATICS, APPLIED 170 / 254 = 0.669 2018 Q3 T3 0.898 2018 Mathematics (miscellaneous) 2018 Q1 Applied Mathematics 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion de Vera-Piquero, Carlos (orcid)0000-0003-3673-3620 30, 2 (2018), 321-346 Forum math. Forum mathematicum 0933-7741 294613 http://zaguan.unizar.es/record/149801/files/texto_completo.pdf Postprint 1448365 http://zaguan.unizar.es/record/149801/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:149801 articulos driver 2025-10-17-14:33:42 ARTICLE