Gergely Z'abr'adi

activity

20102020

most citedExactness of the reduction on étale modules

9 citations · 38 across the 8 of their papers we have counts for

collaborators

9 papers

math.NT2020

Multivariable $(φ, Γ)$ -modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field

Jishnu Ray, Feng Wei, Gergely Zábrádi

Let $K$ be a complete discretely valued field with mixed characteristic $(0, p)$ and imperfect residue field $k_{K}$ . Let $Δ$ be a finite set. We construct an equivalence of categori…

math.NT2019★ 5 cited

On Kuznetsov-Bykovskii's formula of counting prime geodesics

Giacomo Cherubini, Han Wu, Gergely Zábrádi

We generalize a formula on the counting of prime geodesics, due to Kuznetsov-Bykovskii, used in the work of Soundararajan-Young on the prime geodesic theorem. The method works over…

math.NT2018★ 6 cited

Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(φ, Γ)$ -modules

Annie Carter, Kiran S. Kedlaya, Gergely Zábrádi

Let $p$ be a prime, let $K$ be a finite extension of $Q_{p}$ , and let $n$ be a positive integer. We construct equivalences of categories between continuous $p$ -adic represen…

math.NT2017★ 5 cited

Estimating the greatest common divisor of the value of two polynomials

Péter E. Frenkel, Gergely Zábrádi

Let $p$ be a fixed prime, and let $v (a)$ stand for the exponent of $p$ in the prime factorization of the integer $a$ . Let $f$ and $g$ be two monic polynomials with integer coeffici…

math.NT2017

Cohomology and overconvergence for representations of powers of Galois groups

Aprameyo Pal, Gergely Zábrádi

We show that the Galois cohomology groups of $p$ -adic representations of a direct power of $Gal (Q_{p} / Q_{p})$ can be computed via the genera…

math.NT2016★ 6 cited

The p-adic Hodge decomposition according to Beilinson

Tamás Szamuely, Gergely Zábrádi

A detailed presentation of Beilinson's approach to p-adic Hodge theory.

math.NT2015★ 1 cited

On twists of modules over non-commutative Iwasawa algebras

Somnath Jha, Tadashi Ochiai, Gergely Zábrádi

It is well known that, for any finitely generated torsion module M over the Iwasawa algebra Z_p [[Γ ]], where Γ is isomorphic to Z_p, there exists a continuous p-adic character ρ o…

math.NT2014★ 6 cited

Algebraic functional equations and completely faithful Selmer groups

Tibor Backhausz, Gergely Zábrádi

Let $E$ be an elliptic curve---defined over a number field $K$ ---without complex multiplication and with good ordinary reduction at all the primes above a rational prime $p \geq 5$ …

math.RT2010★ 9 cited

Exactness of the reduction on étale modules

Gergely Zábrádi

We prove the exactness of the reduction map from étale $(ϕ, Γ)$ -modules over completed localized group rings of compact open subgroups of unipotent $p$ -adic algebraic groups to usua…

Multivariable (φ,Γ)-modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field