Tame and curve-tame cohomology of \mathbb A¹-invariant étale sheaves

2024/03/04 by S Sandeep, S, Sandeep, Anand Sawant +1
Chemistry · #14C25 #14C35 #19E15 #Algebraic Geometry (math.AG) #Axial and Atropisomeric Chirality Synthesis #FOS: Mathematics #History and advancements in chemistry #K-Theory and Homology (math.KT) #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.2403.01735

openalex publication_date 2024/03/04 · openalex created_date 2024/03/06 · openalex updated_date 2026/08/01

Abstract

We extend the definition of the unramified curve-tame cohomology groups to \mathbbA¹-invariant étale sheaves under some additional hypotheses. We define a pairing of this group with the Suslin homology satisfying desirable properties and using this, we show that the unramified curve-tame cohomology of a smooth geometrically connected variety over a field of positive characteristic agrees with the cohomology of the base field.

Related

• Tame and strongly étale cohomology of curves
• Explicit computation of the first étale cohomology on curves
• Curves are algebraic K(π,1): theoretical and practical aspects
• Tame Class Field Theory for Singular Varieties over Algebraically Closed Fields
• Computing the cohomology of constructible étale sheaves on curves