2 papers
math.AC2017
Counting the number of distinct distances of elements in valued field extensions
Anna Blaszczok, Franz-Viktor Kuhlmann
The defect of valued field extensions is a major obstacle in open problems in resolution of singularities and in the model theory of valued fields, whenever positive characteristic…
math.AC2013
Algebraic independence of elements in immediate extensions of valued fields
Anna Blaszczok, Franz-Viktor Kuhlmann
Refining a constructive combinatorial method due to MacLane and Schilling, we give several criteria for a valued field that guarantee that all of its maximal immediate extensions h…