Franz‐Viktor Kuhlmann

collaborators

4 papers

math.AC2010

Places of algebraic function fields in arbitrary characteristic

Franz-Viktor Kuhlmann

We consider the Zariski space of all places of an algebraic function field $F ∣ K$ of arbitrary characteristic and investigate its structure by means of its patch topology. We show t…

math.AC2010

Value groups, residue fields and bad places of rational function fields

Franz-Viktor Kuhlmann

We classify all possible extensions of a valuation from a ground field $K$ to a rational function field in one or several variables over $K$ . We determine which value groups and re…

math.AC2010

Additive Polynomials and Their Role in the Model Theory of Valued Fields

Franz-Viktor Kuhlmann

We discuss the role of additive polynomials and $p$ -polynomials in the theory of valued fields of positive characteristic and in their model theory. We outline the basic properties…

math.AC2010

Dense subfields of henselian fields, and integer parts

Franz-Viktor Kuhlmann

We show that every henselian valued field $L$ of residue characteristic 0 admits a proper subfield $K$ which is dense in $L$ . We present conditions under which this can be taken su…