3 citations · 4 across the 3 of their papers we have counts for
5 papers
Residual supersingular Iwasawa theory and signed Iwasawa invariants
Filippo A. E. Nuccio, Ramdorai Sujatha
For an odd prime and a supersingular elliptic curve over a number field, this article introduces a fine signed residual Selmer group, under certain hypotheses on the base field…
Coleman Map in Coleman Families
Filippo A. E. Nuccio, Tadashi Ochiai
In this paper, we aimed at constructing a two-variable Coleman map for a given -adic family of eigen cuspforms with a fixed non-zero slope (Coleman family). A Coleman map is a m…
Cyclotomic Units and Class Groups in Z_p extensions of real abelian fields
Filippo A. E. Nuccio
For a real abelian field and for an odd prime p splitting in the field, we study a map between the p-parts of the class group and of the quotient of units modulo Cyclotomic Units,…
Cohomology of normic systems and fake Z_p extensions
Luca Caputo, Filippo A. E. Nuccio
We set up a general framework to study Tate cohomology groups of Galois modules along -extensions of number fields. Under suitable assumptions on the Galois modules,…
On Jacobi Sums in
Bruno Angles, Filippo A. E. Nuccio
We study the p-adic behavior of Jacobi Sums for and link this study to the p-Sylow subgroup of the ideal class group of