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math.AG2021
On the implicit constant fields and key polynomials for valuation algebraic extensions
Arpan Dutta
This article is a natural construction of our previous works. In this article, we employ similar ideas due to MacLane to provide an estimate of IC(K(X)|K,v) when (K(X)|K,v) is a va…
math.AG2021
Minimal pairs, inertia degrees, ramification degrees and implicit constant fields
Arpan Dutta
An extension (K(X)|K, v) of valued fields is said to be valuation transcendental if we have equality in the Abhyankar inequality. Minimal pairs of definition are fundamental object…