Bounding ramification with coherent sheaves
Algebraic Geometry
2026-04-15 v2 Number Theory
Abstract
Given a coherent sheaf E on a scheme of finite type X over a perfect field, we introduce a category of complexes of \'etale sheaves on X with logarithmic conductors bounded by E and study its compatibilities with finite push-forward.
Cite
@article{arxiv.2502.11055,
title = {Bounding ramification with coherent sheaves},
author = {Haoyu Hu and Jean-Baptiste Teyssier},
journal= {arXiv preprint arXiv:2502.11055},
year = {2026}
}
Comments
Theorem 1.2 generalized following a referee's suggestion. Final version. To appear in the Tunisian J. Math