On the-Adic variation of heegner points

F Castella - Journal of the Institute of Mathematics of Jussieu, 2020 - cambridge.org
In this paper, we prove an 'explicit reciprocity law'relating Howard's system of big Heegner
points to a two-variable-series of Bertolini–Darmon–Prasanna in Hida families. As …

On the structure of signed Selmer groups

G Ponsinet - Mathematische Zeitschrift, 2020 - Springer
Let F be a number field unramified at an odd prime p and F_ ∞ F∞ be the Z _p Z p-
cyclotomic extension of F. Generalizing Kobayashi plus/minus Selmer groups for elliptic …

Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes

K Büyükboduk, A Lei - arXiv preprint arXiv:2008.08411, 2020 - arxiv.org
Our primary goal in this article is to study the Iwasawa theory for semi-ordinary families of
automorphic forms on $\mathrm {GL} _2\times\mathrm {Res} _ {K/\mathbb {Q}}\mathrm {GL} …