Year: 2026
Type: article
Abstract: In this article, we prove a semi-continuity property for both conductor divisors and logarithmic conductor divisors for étale sheaves on higher relative dimensions in a geometric situation. It generalizes a semi-continuity result for conductors of étale sheaves on relative curves to higher relative dimensions, and it can be considered as a higher dimensional $\ell $-adic analogy of André’s result on the semi-continuity of Poincaré–Katz ranks of meromorphic connections on smooth relative curves.
DOI: 10.1093/imrn/rnag001
Authors: Haoyu Hu, Jean-Baptiste Teyssier
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7125790781