Virtual global generation in higher dimensions

The notion of virtual global generation (VGG) for a vector bundle has multiple possible generalization from the case of curves to higher dimensional normal projective varieties. We study relationship between these notions. All these notions agree for curves but in higher dimension we show that this is not the case.

Publication Details

Journal
ArXiv.org
Published
2025-09-30
Primary Topic
Legume Nitrogen Fixing Symbiosis
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article
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article

Virtual global generation in higher dimensions

ArXiv.org
Legume Nitrogen Fixing Symbiosis
article

Virtual global generation in higher dimensions

article en

Abstract

The notion of virtual global generation (VGG) for a vector bundle has multiple possible generalization from the case of curves to higher dimensional normal projective varieties. We study relationship between these notions. All these notions agree for curves but in higher dimension we show that this is not the case.

ArXiv.org
Openalex Percentile: Top 32%
Legume Nitrogen Fixing Symbiosis
Open Access PDFOpenAlex
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Virtual global generation in higher dimensions · ArXiv.org (2025) | TGRS Research Map | TGRS