activity
20232025
collaborators

6 papers

math.AG2025

Simple Cohomology bundles on multiprojective spaces

Damian Maingi

We prove stability of the kernel bundle and prove that the cohomology bundle is simple for vector bundles associated to monads on $X = (\mathbb{P}^{n_1})^2\times\cdots\times(\mathb…

math.AG2025

A Cohomological criterion for the splitting of vector bundles on

Damian Maingi

In this paper we study the cohomological criterion for the splitting of vector bundles on multiprojective spaces . We also give…

math.AG2025

Indecomposable bundles on Cartesian products of odd projective spaces

Damian Maingi

In this paper we construct indecomposable vector bundles associated to monads on Cartesian products of odd dimension projective spaces. Specifically we establish the existence of m…

math.AG2024

Cohomological splitting conditions of vector bundles on

Damian Maingi

In this paper we extend the results of Ballico and Malaspina on regularity and splitting conditions on multiprojective spaces .

math.AG2023

Monads on Cartesian products of projective spaces

Damian Maingi

In this paper we establish the existence of monads on special Cartesian products of projective spaces. Special in the sense that we mimick monads on instanton bundles. We construct…

math.RA2023

Two-Sided Noncommutative Gröbner Basis on Quiver Algebras

Daniel K. Waweru, Damian M Maingi

For a quiver , we define a path algebra as a span of all the paths of positive length. We study left (respective right) sided ideals and their Gröbner bases. We introduce t…