On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$
Algebraic Geometry
2025-03-10 v3
Abstract
In this paper, we give some results on the birational geometry of varieties of Fano type and boundedness problems in positive characteristic, including a result ensuring that boundedness is invariant under normalizations, a canonical bundle formula for fibrations of Fano type which is easier to use, and the effective birationality of certain weak Fano varieties with good singularities, which is predicted by the BAB conjecture.
Keywords
Cite
@article{arxiv.2501.12041,
title = {On the canonical bundle formula and effective birationality for Fano varieties in char $p>0$},
author = {Xintong Jiang},
journal= {arXiv preprint arXiv:2501.12041},
year = {2025}
}
Comments
23 pages, minor changes and corrections, comments are welcome!