On obstructions to the Euler system method for Rankin-Selberg convolutions

Elie Studnia

To apply the Euler system method to a $p$-adic Galois representation $T$, one needs the existence of a $\sigma \in G_{\mathbb{Q}({\mu }_{p^{\infty }})}$ such that $V/(\sigma -1)V$ is free of rank on…