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Un isomorphisme de Suslin

2014/07/22 by Shane Kelly, Kelly, Shane · 1 citation
Mathematics · Medicine · Neuroscience · Social Sciences · #Algebraic Geometry (math.AG) #Cerebrovascular and genetic disorders #FOS: Mathematics #Information Technology and Learning #Neurology and Historical Studies #math.AG

paper · pdf · doi:10.48550/arxiv.1407.5772

16 pages, in French

arxiv created 2014/07/22 · openalex publication_date 2014/07/22 · arxiv updated 2014/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we observe that we can remove the hypothesis of resolution of singularities from the isomorphism constructed by Suslin between the étale cohomology with compact support and Bloch's higher Chow groups over an algebraically closed field. We also show that this isomorphism can be obtained using Ivorra's realisation functor.

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