Carlo Pagano

activity

20162026

Cl (K) [l^{\infty}]

for degree

l

cyclic fields

6 citations · 33 across the 23 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018★ 6 cited

On the distribution of $Cl (K) [l^{\infty}]$ for degree $l$ cyclic fields

Peter Koymans, Carlo Pagano

Using a recent breakthrough of Alexander Smith, we prove that $l^{\infty}$ -class groups of cyclic degree $l$ fields have the distribution conjectured by Gerth under GRH.

math.NT2018

Jump sets in local fields

Carlo Pagano

We show how to use the combinatorial notion of jump sets to parametrize the possible structures of the group of principal units of local fields, viewed as filtered modules. We esta…

math.NT2018

Unit equations and Fermat surfaces in positive characteristic

Peter Koymans, Carlo Pagano

In this article we study the three-variable unit equation $x + y + z = 1$ to be solved in $x, y, z \in O_{S}^{*}$ , where $O_{S}^{*}$ is the $S$ -unit group of some…

On the distribution of Cl(K)[l∞] for degree l cyclic fields

Jump sets in local fields

Unit equations and Fermat surfaces in positive characteristic

On the distribution of $Cl (K) [l^{\infty}]$ for degree $l$ cyclic fields