Volumes of Line Bundles on Schemes
Algebraic Geometry
2021-07-20 v2
Abstract
Volumes of line bundles are known to exist as limits on generically reduced projective schemes. However, it is not known if they always exist as limits on more general projective schemes. We show that they do always exist as a limit on a codimension one subscheme of a nonsingular projective variety.
Cite
@article{arxiv.2007.12925,
title = {Volumes of Line Bundles on Schemes},
author = {Steven Dale Cutkosky and Roberto Nunez},
journal= {arXiv preprint arXiv:2007.12925},
year = {2021}
}
Comments
11 pages. Final version