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Bounding ramification with coherent sheaves

Haoyu Hu and Jean-Baptiste Teyssier
Vol. 8 (2026), No. 2, 321–350
DOI: 10.2140/tunis.2026.8.321
Abstract

Given a coherent sheaf ℰ on a scheme of finite type X over a perfect field, we introduce a category of complexes of étale sheaves on X with logarithmic conductors bounded by ℰ and study its compatibilities with finite pushforward.

Keywords
wild ramification, conductors, constructible sheaves
Mathematical Subject Classification
Primary: 11S15
Milestones
Received: 28 February 2025
Revised: 18 July 2025
Accepted: 3 August 2025
Published: 2 April 2026
Authors
Haoyu Hu
School of Mathematics
Nanjing University
Nanjing
China
Jean-Baptiste Teyssier
Institut de Mathématiques de Jussieu
Université Sorbonne
Paris
France
© 2026 MSP (Mathematical Sciences Publishers).