M. Keshari

activity

20042025

most citedNice group structure on the elementary orbit space of unimodular rows

3 citations · 5 across the 24 of their papers we have counts for

collaborators

25 papers

math.AG2025

Descent problem for certificate of non-negativity on semi-algebraic sets

Manoj K. Keshari, Debapriya Ojha, Niladri Sekhar Patra

Let $F$ be a subfield of $R$ and let $K$ be a basic closed semi-algebraic set in $R$ with $\partial K \subset F$ . Let $N$ be the natural choice of generator…

math.AC2023

Monic Inversion Principle and Complete intersection

M. K. Keshari, Soumi Tikader

Let $A$ be a regular ring of dimension $d$ essentially of finite type over an infinite field $k$ of characteristic $\neq = 2$ . Let $P$ be a projective $A$ -module of rank $n$ with $2n…

math.AC2022

On a question of Moshe Roitman and Euler class of stably free module

Manoj K. Keshari, Soumi Tikader

Let $A$ be a ring of dimension $d$ containing an infinite field $k$ , $T_{1}, \dots, T_{r}$ be variables over $A$ and $P$ be a projective $A [T_{1}, \dots, T_{r}]$ -module of rank $n$ . Assume o…

math.AC2022

On Serre dimension of monoid algebras and Segre extensions

Manoj Kumar Keshari, Maria Ann Mathew

Let $R$ be a commutative noetherian ring of dimension $d$ and $M$ be a commutative $,$ cancellative $,$ torsion-free monoid of rank $r$ . Then $S$ -$dim(R[M]) \leq max\{1, dim(R[M])-1…

math.KT2021

Applications of Swan's Bertini to unimodular rows

Manoj K. Keshari, Sampat Sharma

Let $R$ be an affine algebra of dimension $d \geq 4$ over a perfect field $k$ of char $\neq = 2$ and $I$ be an ideal of $R$ . Then - Um $_{d + 1} (R, I) / E_{d + 1} (R, I)$ has nice group s…

math.AC2021

Unimodular rows over monoid extensions of overrings of polynomial rings

Maria A. Mathew, Manoj K. Keshari

Let $R$ be a commutative Noetherian ring of dimension $d$ and $M$ a commutative cancellative torsion-free seminormal monoid. Then (1) Let $A$ be a ring of type $R [d, m, n]$ and $P$ b…