Effective bounds of linear series on algebraic varieties and arithmetic varieties
(2015)
Journal Article
Yuan, X., & Zhang, T. (2018). Effective bounds of linear series on algebraic varieties and arithmetic varieties. Journal für die reine und angewandte Mathematik, 2018(736), 255-284. https://doi.org/10.1515/crelle-2015-0025
In this paper, we prove effective upper bounds for effective sections of line bundles on projective varieties and hermitian line bundles on arithmetic varieties in terms of the volumes. They are effective versions of the Hilbert–Samuel formula and th... Read More about Effective bounds of linear series on algebraic varieties and arithmetic varieties.