Simple Cohomology bundles on multiprojective spaces

Fuente: arXiv
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Main Author: Maingi, Damian
Format: Preprint
Published: 2025
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author Maingi, Damian
author_facet Maingi, Damian
contents 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 $\mathscr{L}=\mathcal{O}_X(α_1,α_1,\cdots,α_s,α_s)$.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03264
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Simple Cohomology bundles on multiprojective spaces
Maingi, Damian
Algebraic Geometry
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 $\mathscr{L}=\mathcal{O}_X(α_1,α_1,\cdots,α_s,α_s)$.
title Simple Cohomology bundles on multiprojective spaces
topic Algebraic Geometry
url https://arxiv.org/abs/2601.03264