Bertini theorems admitting base changes
Algebraic Geometry
2023-08-10 v3
Abstract
Given a base point free linear system on an algebraic variety, many classes of singularities are stable under taking suitable members after enlarging the base field. We establish analogous results when the base ring is an excellent ring.
Cite
@article{arxiv.2208.00254,
title = {Bertini theorems admitting base changes},
author = {Hiromu Tanaka},
journal= {arXiv preprint arXiv:2208.00254},
year = {2023}
}
Comments
53 pages, v2:minor revisions, v3:minor revisions