Browsing by Subject "Galois, Teoria de"
Now showing items 114 of 14

Computing congruences of modular forms and Galois representations modulo prime powers
(2010)
Article
Open AccessThis article starts a computational study of congruences of modular forms and modular Galois representations modulo prime powers. Algorithms are described that compute the maximum integer modulo which two monic coprime ... 
Congruences between modular forms and lowering the level mod l^n
(2009)
Article
Open AccessIn this article we study the behavior of inertia groups for modular Galois mod ℓn representations and in some cases we give a generalization of Ribet’s lowering the level result. 
Differential galois theory and nonintegrability of planar polynomial vector fields
(20180226)
Article
Restricted access  publisher's policyWe study a necessary condition for the integrability of the polynomials vector fields in the plane by means of the differential Galois Theory. More concretely, by means of the variational equations around a particular ... 
Equations of hyperelliptic Shimura curves
(2012)
Article
Open AccessWe describe a method for computing equations of hyperelliptic Shimura curves attached to indefinite quaternion algebras over Q and Atkin–Lehner quotients of them. It exploits Cerednik–Drinfeld 's nonarchimedean uniformization ... 
From Galois to Hopf Galois: theory and practice
(201509)
Article
Open AccessHopf Galois theory expands the classical Galois theory by con sidering the Galois property in terms of the action of the group algebra k [ G ] on K/k and then replacing it by the action of a Hopf algebra. We review the ... 
Generic Galois extensions for SL_2(F_5) over Q
(Mathematical Publishing, 2007)
Article
Open AccessLet $G_n$ be a double cover of either the alternating group $A_n$ or the symmetric group $S_n$, and let $G_{n1}$ be the corresponding double cover of $A_{n1}$ or $S_{n1}$. For every odd $n\geq 3$ and every field $k$ of ... 
On elliptic Galois representations and genuszero modular units
(20060703)
Article
Open AccessGiven an odd prime \,$p$\, and a representation $\varrho$\, of the absolute Galois group of a number field $k$ onto $\mathrm{PGL}_2(\mathbb{F}_p)$ with cyclotomic determinant, the moduli space of elliptic curves defined ... 
On fields of definition of torsion points of elliptic curves with complex multiplication
(201106)
Article
Open AccessFor any elliptic curve E defined over the rationals with complex multiplication (CM) and for every prime p, we describe the image of the mod p Galois representation attached to E. We deduce information about the field of ... 
On the integrability of polynomial fields in the plane by means of PicardVessiot theory
(20120112)
External research report
Open AccessWe study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results ... 
Ordinary CM forms and local Galois representations
(Universitat Politècnica de Catalunya, 200907)
Master thesis
Open Access"The padic Galois representation \rho_f attached to a pordinary newform f of weight k>1 is known to be reducible when restricted to a decomposition group D_p at p. Ralph Greenberg asked for a characterization of those f ... 
Polynomials in finite geometry
(Università degli studi di Napoli. Dipartimento di Matematica, 19991101)
Part of book or chapter of book
Open Access 
Rational points on twists of X0(63)
(20060207)
Article
Open AccessLet $\varrho\colon G_\mathbb{Q}\longrightarrow PGL_2(\mathbb{F}_p)$ be a Galois representation with cyclotomic determinant, and let $N>1$ be an integer that is square mod $p$. There exist two twisted modular curves ... 
The Hopf Galois property in subfield lattices
(20160101)
Article
Open AccessLet K/k be a finite separable extension, n its degree and (K) over tilde /k its Galois closure. For n <= 5, Greither and Pareigis show that all Hopf Galois extensions are either Galois or almost classically Galois and they ... 
The polynomial method in Galois geometries
(Nova Science Publishers, 2012)
Part of book or chapter of book
Restricted access  publisher's policyThe polynomial method refers to the application of polynomials to combinatorial problems. The method is particularly effective for Galois geometries and a number of problems and conjectures have been solved using the ...