S. Mandal

collaborators

4 papers

math.KT2026

Chow-Witt Theory in the Arrowtic Paradigm

Satya Mandal

In this article we propose a theory of Chow-Witt groups, in the paradigm of Quillen's arrow based approach to $K$ -theory. We refer to this style of arguments as arrowtic paradigm.…

math.AC2026

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.KT2026

Nontrivial vector bundles with trivial Chern classes

Satya Mandal

Let $F_{0}$ be an algebraically closed field, with $c ha r (F_{0}) = 0$ . In this article, for prime numbers $p \geq 2$ , we construct smooth affine algebras $B$ over ${\ma…

math.KT2024

Localization problems of Quillen

Satya Mandal

Let $X$ be a quasi projective scheme over a noetherian affine scheme $S p ec (A)$ , $U \subseteq X$ be an open subset, and $Z = X - U$ .Assume that $Z$ is complete intersection, with $k=codi…