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math.AC2022
Tame Key polynomials
Arpan Dutta, Franz-Viktor Kuhlmann
We introduce a new method of constructing complete sequences of key polynomials for simple extensions of tame fields. In our approach the key polynomials are taken to be the minima…
math.AG2022
Extensions of valuations to rational function fields over completions
Arpan Dutta
Given a valued field and its completion , we study the set of all possible extensions of to . We show that any such extension is closel…