Anuj Bishnoi

collaborators

3 papers

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…

math.AC2022

MacLane-Vaquié chains and Valuation-Transcendental Extensions

Sneha Mavi, Anuj Bishnoi

In this paper, for a valued field $(K, v)$ of arbitrary rank and an extension $w$ of $v$ to $K (X),$ we give a connection between complete sets of ABKPs for $w$ and MacLane-Vaquié c…

math.AC2022

On chains associated with abstract key polynomials

Sneha Mavi, Anuj Bishnoi

In this paper, for a henselian valued field $(K, v)$ of arbitrary rank and an extension $w$ of $v$ to $K (X),$ we use abstract key polynomials for $w$ to give a connection between c…