Simple Cohomology bundles on multiprojective spaces

Abstract

We prove stability of the kernel bundle and prove that the cohomology bundle is simple for vector bundles associated to monads on $X=({\mathbb{P}}^{n_1}{)}^2\times \cdots \times ({\mathbb{P}}^{n_s}{)}^2$ for an ample line bundle $\mathcal{L}={\mathcal{O}}_X({\alpha }_1,{\alpha }_1,\cdots ,{\alpha }_s,{\alpha }_s)$.

12 pages, generalization of the results in arXiv:2204.03844. arXiv admin note: substantial text overlap with arXiv:2504.10321