Bounding ramification with coherent sheaves
Haoyu Hu, Jean-Baptiste Teyssier
TL;DR
This paper introduces a new category of complexes of étale sheaves with bounded logarithmic conductors on schemes, exploring their properties and compatibility with finite push-forward.
Contribution
It presents a novel framework for bounding ramification using coherent sheaves and analyzes its compatibility with push-forward operations.
Findings
Defined a category of complexes with bounded logarithmic conductors
Established compatibility properties with finite push-forward
Provided new tools for studying ramification in algebraic geometry
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.
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