Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Nuccio, Filippo A. E."'
Dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these structures and several fundamental properties, including number theoretic finiteness results for class group
Externí odkaz:
http://arxiv.org/abs/2102.02600
For an odd prime $p$ 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. This group depends purely on the residual representation at $p$, yet
Externí odkaz:
http://arxiv.org/abs/1911.10649
Autor:
Caputo, Luca, Nuccio, Filippo A. E.
Publikováno v:
Glasgow Math. J. 62 (2020) 323-353
We give an algebraic proof of a class number formula for dihedral extensions of number fields of degree $2q$, where $q$ is any odd integer. Our formula expresses the ratio of class numbers as a ratio of orders of cohomology groups of units and recove
Externí odkaz:
http://arxiv.org/abs/1803.04064
Publikováno v:
Journal de th\'eorie des nombres de Bordeaux, 30 no. 2 (2018), p. 651-670
Pour une repr\'esentation galoisienne di\'edrale en caract\'eristique l on \'etablit (sous certaines hypoth\`eses) l'existence d'une newform \`a multiplication complexe, dont on contr\^ole le poids, le niveau et le caract\`ere, telle que la repr\'ese
Externí odkaz:
http://arxiv.org/abs/1611.07118
Autor:
Nuccio, Filippo A. E., Ochiai, Tadashi
In this paper, we aimed at constructing a two-variable Coleman map for a given $p$-adic family of eigen cuspforms with a fixed non-zero slope (Coleman family). A Coleman map is a machinary which transforms a hypothetical $p$-adic family of zeta eleme
Externí odkaz:
http://arxiv.org/abs/1606.04441
Autor:
Luca Caputo luca.caputo@gmx.com, Nuccio, Filippo A. E.1 filippo.nuccio@univ-st-etienne.fr
Publikováno v:
New York Journal of Mathematics. 2023, Vol. 29, p1196-1272. 77p.
Autor:
Nuccio, Filippo A. E.
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, respectively, along the cyclotomic Z_p-extension of the field. We dete
Externí odkaz:
http://arxiv.org/abs/0812.0784
Autor:
Caputo, Luca, Nuccio, Filippo A. E.
Publikováno v:
New York Journal of Mathematics 29 (2023), 1196-1272
We set up a general framework to study Tate cohomology groups of Galois modules along $\mathbb{Z}_p$-extensions of number fields. Under suitable assumptions on the Galois modules, we establish the existence of a five-term exact sequence in a certain
Externí odkaz:
http://arxiv.org/abs/0807.1135
Autor:
Angles, Bruno, Nuccio, Filippo A. E.
We study the p-adic behavior of Jacobi Sums for $\mathbb Q(\zeta_p)$ and link this study to the p-Sylow subgroup of the ideal class group of $\mathbb Q(\zeta_p\`a^+$
Externí odkaz:
http://arxiv.org/abs/0802.1645
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