Arpan Dutta

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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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math.AC2019★ 5 cited

Eliminating Tame Ramification: generalizations of Abhyankar's Lemma

Franz-Viktor Kuhlmann, Arpan Dutta

A basic version of Abhyankar's Lemma states that for two finite extensions $L$ and $F$ of a local field $K$ , if $L ∣ K$ is tamely ramified and if the ramification index of $L ∣ K$ divi…

math.AG2019

Generalization of Abhyankar's Lemma to henselian valued fields

Arpan Dutta

Abhyankar showed that for a finite tame extension $L_{1} / K$ and a finite extension $L_{2} / K$ of $P$ -adic fields, the condition $[ν L_{1} : ν K]$ divides $[ν L_{2} : ν K]$ is suffici…