Recent Submissions

  • Frobenius distribution for quotients of Fermat curves of prime exponent 

    Fité, Francesc; González Rovira, Josep; Lario Loyo, Joan Carles (2015-06-18)
    Article
    Restricted access - publisher's policy
    Let C denote the Fermat curve over Q of prime exponent l. The Jacobian Jac(C) of C splits over Q as the product of Jacobians Jac(C_k), 0< k < l-1, where C_k are curves obtained as quotients of C by certain subgroups of ...
  • Modular forms with large coefficient fields via congruences 

    Dieulefait, Luis; Jiménez Urroz, Jorge; Ribet, Keneth (Springer, 2015-05-01)
    Article
    Open Access
    We use the theory of congruences between modular forms to prove the existence of newforms with square-free level having a fixed number of prime factors such that the degree of their coefficient fields is arbitrarily large. ...
  • On the Galois correspondence theorem in separable Hopf Galois theory 

    Crespo Vicente, Teresa; Río Doval, Ana; Vela del Olmo, Mª Montserrat (2016-01)
    Article
    Open Access
    In this paper we present a reformulation of the Galois correspondence theorem of Hopf Galois theory in terms of groups carrying farther the description of Greither and Pareigis. We prove that the class of Hopf Galois ...
  • From Galois to Hopf Galois: theory and practice 

    Crespo Vicente, Teresa; Río Doval, Ana; Vela del Olmo, Mª Montserrat (2015-09)
    Article
    Open Access
    Hopf 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 ...
  • The Hopf Galois property in subfield lattices 

    Crespo Vicente, Teresa; Río Doval, Ana; Vela del Olmo, Mª Montserrat (2016-01-01)
    Article
    Restricted access - publisher's policy
    Let 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 ...
  • Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields 

    Darmon, Henri; Lauder, Alan; Rotger Cerdà, Víctor (2015-10-01)
    Article
    Restricted access - publisher's policy
    This article examines the Fourier expansions of certain non-classical p-adic modular forms of weight one: the eponymous generalised eigertforms of the title, so called because they lie in a generalised eigenspace for the ...
  • Algorithms for chow-heegner points via iterated integrals 

    Darmon, Henri; Daub, Michael; Lichtenstein, Sam; Rotger Cerdà, Víctor (2015)
    Article
    Restricted access - publisher's policy
    Let E/Q be an elliptic curve of conductor N and let f be the weight 2 newform on G0(N) associated to it by modularity. Building on an idea of S. Zhang, an article by Darmon, Rotger, and Sols describes the construction of ...
  • Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras 

    Crespo, Teresa; Río Doval, Ana; Vela del Olmo, Mª Montserrat (2014-10-30)
    Article
    Restricted access - publisher's policy
    We give a degree 8 non-normal separable extension having two non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras.
  • Genetics of polynomials over local fields 

    Guàrdia Rubies, Jordi; Nart Vinyals, Enric (2015)
    Article
    Open Access
    Let (K, v) be a discrete valued field with valuation ring O, and let Ov be the completion of O with respect to the v-adic topology. In this paper we discuss the advantages of manipulating polynomials in Ov[x] on a computer ...
  • Residual ideals of MacLane valuations 

    Fernández González, Julio; Guàrdia Rubies, Jordi; Montes Peral, Jesús; Nart Vinyals, Enric (2015)
    Article
    Open Access
    Let K be a field equipped with a discrete valuation v. In a pioneering work, MacLane determined all valuations on K(x) extending v. His work was recently reviewed and generalized by Vaqui´e, by using the graded algebra ...

View more