Now showing items 209-211 of 211

    • Icon

      Valuations in algebraic field extensions  [Article]

      Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Spivakovsky, Mark (Elsevier, 2007-06-15)
      Let K → L be an algebraic field extension and ν a valuation of K. The purpose of this paper is to describe the totality of extensions {ν′} of ν to L using a refined version of MacLane’s key polynomials. In the basic case ...
    • Icon

      Valuations in fields of power series  [Article]

      Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (European Mathematical Society, 2003)
      This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also classify all the discrete rank one valuations ...
    • Icon

      Vassiliev invariants for braids on surfaces  [Article]

      González-Meneses López, Juan; Paris, Luis (American Mathematical Society, 2004)
      We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of ...