Soumi Tikader

activity

20172023

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Showing math.ACShow all

5 papers · 1 filter

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.AC2017

Euler cycles and Mennicke symbols

Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

Let $R$ be a smooth affine domain of dimension $d \geq 2$ over an infinite perfect field $k$ . We establish a morphism from the Euler class group $E^{d} (R)$ to $U m_{d + 1} (R) / E_{d + 1} (R)$ …

math.AC2017

$P^{1}$ -gluing for local complete intersections

Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

We prove an analogue of the Affine Horrocks' Theorem for local complete intersection ideals of height $n$ in $R [T]$ , where $R$ is a regular domain of dimension $d$ , which is essent…

math.AC2017

From Euler class groups to Mennicke symbols and a monic inversion principle

Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna

Let $R$ be a regular domain of dimension $d \geq 2$ which is essentially of finite type over an infinite perfect field $k$ . We compare the Euler class group $E^{d} (R)$ with the van de…

Monic Inversion Principle and Complete intersection

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

Euler cycles and Mennicke symbols

P1-gluing for local complete intersections

From Euler class groups to Mennicke symbols and a monic inversion principle

$P^{1}$ -gluing for local complete intersections