S. Mandal

activity

19962026

most citedThe Homotopy Obstructions in Complete Intersections

2 citations · 5 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.AC2025

Methods in complete intersections in corank one

Satya Mandal

Let $A$ denote an affine algebra over an algebraically closed field $F$ , with $dim A = d \geq 3$ . Due to the recent exciting activities regarding projective $A$ -modules $P$ …

math.AC2020★ 1 cited

Convergence of two obstructions for projective modules

Satya Mandal

Let $X = S p ec A$ denote a regular affine scheme, over a field $k$ , with $1/2 \in k$ and $dim X = d$ . Let $P$ denote a projective $A$ -module of rank $n \geq 2$ . Let $π_0\left({\mathcal…

math.AC2018★ 1 cited

Some perspective on Homotopy obstructions

Satya Mandal, Bibekananda Mishra

Throughout $A$ will denote commutative noetherian ring, with $dim A = d \geq 2$ , and $P$ denote a projective $A$ -module with $r ank (P) = n$ . In \cite{MM1} we considered the Homotopy obs…

math.AC2017

An Example in Complete Intersections and an Erratum

Satya Mandal

This is essentially an erratum, with some example to indicate inconsistencies. Suppose $A = k [X_{1}, X_{2}, \dots, X_{n}]$ is a polynomial ring over a field $k$ . The Complete Intersection…

math.AC2016

The Monoid Structure on Homotopy Obstructions

Satya Mandal, Bibekananda Mishra

Let $A$ be a commutative noetherian ring, containing a field $k$ , with $1/2 \in k$ , $dim A = d$ , and let $P$ be a projective $A$ -module or $r ank (P) = n$ . In continuation of \cite{MM},…

math.AC2016★ 2 cited

The Homotopy Obstructions in Complete Intersections

Satya Mandal, Bibekananda Mishra

Let $A$ be a regular ring over a field $k$ , with $1/2 \in k$ and dimension $d$ . We discuss the Homotopy Conjecture of Madhav V. Nori, in the complete intersection case (meaning when…

math.AC2015

On the complete intersection conjecture of Murthy

Satya Mandal

Suppose $A = k [X_{1}, X_{2}, \dots, X_{n}]$ is a polynomial ring over a field $k$ and $I$ is an ideal in $A$ . Then M. P. Murthy conjectured that $μ (I) = μ (I / I^{2})$ , where $μ$ denotes the min…

math.AC2015

Witt, $G W$ , $K$ -theory of quasi-projective schemes

Satya Mandal

In this article we continue our investigation of the Derived Equivalences over noetherian quasi-projective schemes $X$ , over affine schemes $\spec{A}$. For integers $k \geq 0$ , let…

math.AC2010

Another definition of Euler class group of a Noetherian ring

Manoj K Keshari, Satya Mandal

We will give another definition of Euler class group of a Noetherian ring.

Methods in complete intersections in corank one

Convergence of two obstructions for projective modules

Some perspective on Homotopy obstructions

An Example in Complete Intersections and an Erratum

The Monoid Structure on Homotopy Obstructions

The Homotopy Obstructions in Complete Intersections

On the complete intersection conjecture of Murthy

Witt, GW, K-theory of quasi-projective schemes

Another definition of Euler class group of a Noetherian ring

Witt, $G W$ , $K$ -theory of quasi-projective schemes