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Journal of the Ramanujan Mathematical Society

Volume 41, Issue 2, June 2026  pp. 193–199.

Virtual global generation in higher dimensions

Authors:  Indranil Biswas, Manish Kumar and A. J. Parameswaran
Author institution:Department of Mathematics, Shiv Nadar University, NH91, Tehsil Dadri, Greater Noida, Uttar Pradesh 201 314, India.

Summary:  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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