Taylor conditions over finite fields
Algebraic Geometry
2025-06-02 v2 Number Theory
Abstract
We extend Poonen's Bertini theorem over finite fields to Taylor conditions arising from locally free quotients of the sheaf of differentials on projective space. This is motivated by a result of Bilu and Howe in the motivic setting that allows for significantly more general Taylor conditions.
Keywords
Cite
@article{arxiv.2412.08744,
title = {Taylor conditions over finite fields},
author = {Matthew Bertucci},
journal= {arXiv preprint arXiv:2412.08744},
year = {2025}
}