Alessandro Cobbe

activity

20092025

most citedEquivariant epsilon constant conjectures for weakly ramified extensions

11 citations · 15 across the 5 of their papers we have counts for

collaborators

10 papers

cs.CR2025

The Rabin cryptosystem over number fields

Alessandro Cobbe, Andreas Nickel, Akay Schuster

We extend Rabin's cryptosystem to general number fields. We show that decryption of a random plaintext is as hard as the integer factorisation problem, provided the modulus in our…

math.NT2020

The epsilon constant conjecture for higher dimensional unramified twists of $Z_{p}^{r} (1)$

Werner Bley, Alessandro Cobbe

Let $N / K$ be a finite Galois extension of $p$ -adic number fields and let $ρ^{nr} : G_{K} \to Gl_{r} (Z_{p})$ be an $r$ -dimensional unramified representation of the…

math.NT2018

A representative of $R Γ (N, T)$ for higher dimensional twists of $Z_{p}^{r} (1)$

Alessandro Cobbe

Let $N / K$ be a Galois extension of $p$ -adic number fields and let $V$ be a $p$ -adic representation of the absolute Galois group $G_{K}$ of $K$ . The equivariant local $ε$ -constant con…

math.NT2016★ 4 cited

The equivariant local $ε$ -constant conjecture for unramified twists of $Z_{p} (1)$

Werner Bley, Alessandro Cobbe

We study the equivariant local epsilon constant conjecture, denoted by $C_{E P}^{na} (N / K, V)$ , as formulated in various forms by Kato, Benois and Berger, Fukaya and Kato and others,…

math.NT2014★ 11 cited

Equivariant epsilon constant conjectures for weakly ramified extensions

Werner Bley, Alessandro Cobbe

We study the local epsilon constant conjecture as formulated by Breuning. This conjecture fits into the general framework of the equivariant Tamagawa number conjecture (ETNC) and s…

math.NT2011

An explicit candidate for the set of Steinitz classes of tame Galois extensions with fixed Galois group of odd order

Luca Caputo, Alessandro Cobbe

Given a finite group G and a number field k, a well-known conjecture asserts that the set R_t(k,G) of Steinitz classes of tame G-Galois extensions of k is a subgroup of the ideal c…

The Rabin cryptosystem over number fields

The epsilon constant conjecture for higher dimensional unramified twists of Zpr​(1)

A representative of RΓ(N,T) for higher dimensional twists of Zpr​(1)

The equivariant local ε-constant conjecture for unramified twists of Zp​(1)

Equivariant epsilon constant conjectures for weakly ramified extensions

An explicit candidate for the set of Steinitz classes of tame Galois extensions with fixed Galois group of odd order

The epsilon constant conjecture for higher dimensional unramified twists of $Z_{p}^{r} (1)$

A representative of $R Γ (N, T)$ for higher dimensional twists of $Z_{p}^{r} (1)$

The equivariant local $ε$ -constant conjecture for unramified twists of $Z_{p} (1)$