Abundance theorem for threefolds in mixed characteristic
Algebraic Geometry
2022-11-24 v2
Abstract
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than five. As a consequence, we give a sufficient condition for the asymptotic invariance of plurigenera for certain families of singular surface pairs to hold in mixed characteristic.
Cite
@article{arxiv.2111.08970,
title = {Abundance theorem for threefolds in mixed characteristic},
author = {Fabio Bernasconi and Iacopo Brivio and Liam Stigant},
journal= {arXiv preprint arXiv:2111.08970},
year = {2022}
}
Comments
30 pages, to appear in Math. Ann