Simple Cohomology bundles on multiprojective spaces

Damian Maingi

Simple Cohomology bundles on multiprojective spaces

Algebraic Geometry 2026-01-08 v1

Authors: Damian Maingi

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 $\mathscr{L}=\mathcal{O}_X(\alpha_1,\alpha_1,\cdots,\alpha_s,\alpha_s)$ .

Keywords

vector bundles moduli spaces of vector bundles vector bundles and cohomology

Cite

@article{arxiv.2601.03264,
  title  = {Simple Cohomology bundles on multiprojective spaces},
  author = {Damian Maingi},
  journal= {arXiv preprint arXiv:2601.03264},
  year   = {2026}
}

Comments

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

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