Arpan Dutta

activity

20182021

most citedEliminating Tame Ramification: generalizations of Abhyankar's Lemma

5 citations · 6 across the 4 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.AG2021

On the ranks and implicit constant fields of valuations induced by pseudo monotone sequences

Arpan Dutta

Given a valued field $(K, v)$ and a pseudo monotone sequence $E$ in $(K, v)$ , one has an induced valuation $v_{E}$ extending $v$ to $K (X)$ . After fixing an extension of $v_{E}$ to a fixe…

math.AG2021

Minimal pairs, minimal fields and implicit constant fields

Arpan Dutta

Minimal pairs of definition were introduced by Alexandru, Popescu and Zaharescu to study residue transcendental extensions. In this paper we obtain analogous results in the value t…