Nikita Dwivedi

collaborators

2 papers

math.AC2026

On Regular Mac Lane-Vaquié chains

Nikita Dwivedi, Anuj Bishnoi

Let $(K^{h}, v^{h})$ be a Henselization of a valued field $(K, v)$ , $μ$ any extension of $v$ to $K [x]$ , and $μ^{h}$ the canonical extension of $μ$ and $v^{h}$ to $K^{h} [x] .$ In this paper, we…

math.AC2026

On simple extensions generated by key polynomials

Nikita Dwivedi, Anuj Bishnoi

Let $K^{h}$ be a Henselization of a valued field $(K, v),$ $w$ a valuation-transcendental extension of $v$ to $K [x],$ and $ϕ$ a key polynomial for $w$ . In this paper, we prove that if…