Cohomological splitting conditions of vector bundles on $\mathbb{P}^{n_1}\times\cdots\times\mathbb{P}^{n_s}$

TL;DR

This paper extends existing results on the regularity and splitting conditions of vector bundles on multiprojective spaces, providing new criteria for their decomposition.

Contribution

It generalizes previous work by Ballico and Malaspina, offering broader cohomological splitting conditions on multiprojective spaces.

Findings

Extended regularity conditions for vector bundles.

New splitting criteria on multiprojective spaces.

Broader applicability of cohomological methods.

Abstract

In this paper we extend the results of Ballico and Malaspina on regularity and splitting conditions on multiprojective spaces $\mathbb{P}^{n_1}\times\cdots\times\mathbb{P}^{n_s}$.