Results 61 to 70 of about 16,779 (193)

The growth of Tate–Shafarevich groups of p$p$‐supersingular elliptic curves over anticyclotomic Zp${\mathbb {Z}}_p$‐extensions at inert primes

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley   +1 more source

Integrability of Stochastic Birth-Death processes via Differential\n Galois Theory [PDF]

open access: green, 2019
Primitivo B. Acosta-Humánez   +2 more
openalex   +2 more sources

On the inverse problem of Galois theory of differential fields [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
1. All fields considered here are of characteristic 0. Let F be a field, let C be an algebraically closed subfield of F. Let G be a connected algebraic group defined over C. F(G) denotes the field of all rational functions on G defined over F. If gCG then F(g) denotes the field generated by g over F. We shall say that a derivation of F(G) commutes with
openaire   +2 more sources

Galois theory of differential schemes

open access: yes
Added the theory of geometric quotients and several applications and ...
Tomašić, Ivan, Noohi, Behrang
openaire   +2 more sources

Differential Galois theory

open access: yes, 2020
Galois Theory is a powerful tool to study the roots of polynomials. In this sense, the differential Galois theory is the analogue of Galois theory for linear differential equations. In this thesis, we will construct the notion of a differential field and Picard-Vessiot extension of a linear differential equation as the analogue of a field and the ...
openaire   +1 more source

Parameterized generic Galois groups for q-difference equations, followed by the appendix "The Galois D-groupoid of a q-difference system" by Anne Granier

open access: yes, 2012
We introduce the parameterized generic Galois group of a q-difference module, that is a differential group in the sense of Kolchin. It is associated to the smallest differential tannakian category generated by the q-difference module, equipped with the ...
Di Vizio, Lucia, Hardouin, Charlotte
core   +1 more source

A Novel Cipher-Based Data Encryption with Galois Field Theory. [PDF]

open access: yesSensors (Basel), 2023
Hazzazi MM   +3 more
europepmc   +1 more source

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