• Class field theory 

      Alonso Rodríguez, Raúl (Universitat Politècnica de Catalunya, 2018-07)
      Treball Final de Grau
      Accés obert
      Class field theory describes the Abelian extensions of a local or global field in terms of the arithmetic of the field itself. The aim of this thesis is to present and prove its main statements. We begin by developing local ...
    • Newton polygons of higher order in algebraic number theory 

      Guàrdia Rubies, Jordi; Montes Peral, Jesús; Nart, Enric (2012-01-10)
      Article
      Accés obert
      We develop a theory of arithmetic Newton polygons of higher order, that provides the factorization of a separable polynomial over a p-adic eld, together with relevant arithmetic information about the elds generated by ...