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math.AC2026
Common extensions of valuations to rational function fields
Arpan Dutta, Wael Mahboub
Let (K(X)|K,w) be a valuation transcendental extension of rational function fields and take a minimal pair of definition (a, gamma). In this paper, we characterize those K-conjugat…
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…