Now showing items 4-5 of 5

  • Newton polygons of higher order in algebraic number theory 

    Guàrdia Rubies, Jordi; Montes Peral, Jesús; Nart, Enric (2012-01-10)
    Article
    Open Access
    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 ...
  • 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 ...