Nathalia de Moraes Oliveira

collaborators

3 papers

math.AG2019

Defectless polynomials over henselian fields and inductive valuations

Nathália Moraes de Oliveira, Enric Nart

Let $(K, v)$ be a henselian valued field. Let $P^{d l ess} \subset K [x]$ be the set of monic, irreducible polynomials which are defectless and have degree greater than one. Fo…

math.AG2019

Computation of residual polynomial operators of inductive valuations

Nathália Moraes de Oliveira, Enric Nart

Let $(K, v)$ be a valued field, and $μ$ an inductive valuation on $K [x]$ extending $v$ . Let $G_{μ}$ be the graded algebra of $μ$ over $K [x]$ , and $κ$ the maximal subfield of the subri…

math.NT2016

Reduced normal form of local integral bases

Nathália Moraes de Oliveira, Enric Nart

We introduce a canonical form for reduced bases of integral closures of discrete valuation rings, and we describe an algorithm for computing a basis in reduced normal form. This no…