Rumi Ghosh

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math.AC2026

Relative approximation degrees and the henselian rationality problem over perfect fields

Arpan Dutta, Rumi Ghosh

Let $(F ∣ K, w)$ be an immediate valued function field of transcendence degree one over a rank-one perfect valued field $(K, v)$ of characteristic $p > 0$ . It is henselian rational if $F…

math.AC2025

On defectless unibranched simple extensions, complete distinguished chains and certain stability results

Arpan Dutta, Rumi Ghosh

Let $(K, v)$ be a valued field. Take an extension of $v$ to a fixed algebraic closure $L$ of $K$ . In this paper we show that an element $a \in L$ admits a complete distinguished chai…