Virtual global generation in higher dimensions

2025/09/30 by Biswas, Indranil, Kumar, Manish, Parameswaran, A. J.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.25653

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.

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