Jens-Dietrich Bauch

activity

20122016

most citedLattices over Polynomial Rings and Applications to Function Fields

4 citations · 5 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2016★ 4 cited

Lattices over Polynomial Rings and Applications to Function Fields

Jens-Dietrich Bauch

This paper deals with lattices $(L, ∥ ∥)$ over polynomial rings, where $L$ is a finitely generated module over $k [t]$ , the polynomial ring over the field $k$ in the indeterm…

math.NT2015

Computation of Integral Bases

Jens-Dietrich Bauch

Let $A$ be a Dedekind domain, $K$ the fraction field of $A$ , and $f \in A [x]$ a monic irreducible separable polynomial. For a given non-zero prime ideal $p$ of $A$ we pre…

math.NT2012★ 1 cited

Genus computation of global function fields

Jens-Dietrich Bauch

In this paper we present an algorithm that computes the genus of a global function field. Let F/k be function field over a field k, and let k0 be the full constant field of F/k. By…

math.NT2012

Complexity of OM factorizations of polynomials over local fields

Jens-Dietrich Bauch, Enric Nart, Hayden D. Stainsby

Let $k$ be a locally compact complete field with respect to a discrete valuation $v$ . Let $\oo$ be the valuation ring, $\m$ the maximal ideal and $F(x)\in\oo[x]$ a monic separable…