p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140971We show how non-vanishing of p-adic L functions controls the dimensions of Selmer varieties associated to the complement of the origin in an elliptic curve with CM. As a corollary, one obtains a π_1-proof of the theorem of Siegel for such curves.Number TheoryAlgebraic Geometry11G35p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplicationtext