Finite Chow-Witt correspondences

2014/12/09 by Baptiste Calmès, Calmès, Baptiste, Jean Fasel +1 · 3 citations
Mathematics · #11E70 #13D15 #14A99 #14C35 #14F42 #19D45 (Secondary) #19E15 #19G38 (Primary) 11E81 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1412.2989

openalex publication_date 2014/12/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We introduce the category of finite Chow-Witt correspondences over a perfect field k of characteristic not 2. We then use them to define bigraded generalized motivic cohomology groups of a smooth scheme over k and begin the study of their relationship with ordinary motivic cohomology groups.

Cited by

• Effective Grothendieck-Witt motives of smooth varieties
• On the effectivity of spectra representing motivic cohomology theories
• General Motivic Cohomology and Symplectic Orientation

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