M. Das

activity

20142022

most citedEuler class groups and motivic stable cohomotopy

8 citations · 14 across the 10 of their papers we have counts for

collaborators

Showing 2017 · math.ACShow all

5 papers · 2 filters

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

Projective modules over affine threefolds: a simpler case

Mrinal Kanti Das

Let $p \neq = 2$ , and let $R$ be a smooth affine algebra of dimension $3$ over $F_{p}$ and $P, Q$ be projective $R$ -modules of rank $2$ , each with trivial determinant. We pro…

math.AC2017

On two conjectures of Murthy

Mrinal Kanti Das

This article concerns two conjectures of M. P. Murthy. For Murthy's conjecture on complete intersections, the major breakthrough has still been the result proved by Mohan Kumar in…

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…

Euler cycles and Mennicke symbols

Projective modules over affine threefolds: a simpler case

On two conjectures of Murthy

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