On del Pezzo fibrations in positive characteristic
Algebraic Geometry
2023-06-22 v3
Abstract
We establish two results on three-dimensional del Pezzo fibrations in positive characteristic. First, we give an explicit bound for torsion index of relatively torsion line bundles. Second, we show the existence of purely inseparable sections with explicit bounded degree. To prove these results, we study log del Pezzo surfaces defined over imperfect fields.
Keywords
Cite
@article{arxiv.1903.10116,
title = {On del Pezzo fibrations in positive characteristic},
author = {Fabio Bernasconi and Hiromu Tanaka},
journal= {arXiv preprint arXiv:1903.10116},
year = {2023}
}
Comments
50 pages, v2: minor revisions, v3: minor revisions