8 citations · 14 across the 10 of their papers we have counts for
10 papers
Splitting criteria for projective modules over polynomial algebras
Sourjya Banerjee, Mrinal Kanti Das
This article investigates the splitting problem for finitely generated projective modules over affine algebras over algebraically closed fields and their polynomial extensions.…
On a question of Nori: obstructions, improvements, and applications
Sourjya Banerjee, Mrinal Kanti Das
This article concerns a question asked by M. V. Nori on homotopy of sections of Projective modules defined on the polynomial algebra over a smooth affine domain . While this que…
Remarks on Euler class groups and two conjectures
Mrinal Kanti Das
We revamp the existing theory of Euler class groups and present them in as much generality as possible. We remark on two results of Asok-Fasel and indicate some improvements.
Euler cycles and Mennicke symbols
Mrinal Kanti Das, Soumi Tikader, Md. Ali Zinna
Let be a smooth affine domain of dimension over an infinite perfect field . We establish a morphism from the Euler class group to …
Projective modules over affine threefolds: a simpler case
Mrinal Kanti Das
Let , and let be a smooth affine algebra of dimension over and be projective -modules of rank , each with trivial determinant. We pro…
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…