Proves level raising and reciprocity for GKS diagonal cycles on triple Shimura curve products, establishing them as a bipartite Euler system for symmetric cube motives and evidence for Bloch-Kato.
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Arithmetic level raising on triple product of Shimura curves and Gross--Kudla--Schoen Diagonal cycles II: Bipartite Euler system
Proves level raising and reciprocity for GKS diagonal cycles on triple Shimura curve products, establishing them as a bipartite Euler system for symmetric cube motives and evidence for Bloch-Kato.