2008/06/30 by Baptiste Calmès, Jens Hornbostel · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AG #math.KT #msc:11E70 #msc:14F05 #msc:19E08 #msc:19G12
paper · pdf · doi:10.4171/cmh/230
published as Commentarii Mathematici Helvetici, Volume 86, Issue 2, 2011, pp. 437-468 · 23 pages, references updated, typos fixed, journal reference added
openalex publication_date 2011/02/27 · arxiv created 2011/04/09 · arxiv updated 2011/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using suitable closed symmetric monoidal structures on derived categories of schemes, as well as adjunctions of the type (\rm Lf^*,\rm Rf_*) and (\rm Rf_*,f^!) (i.e. Grothendieck duality theory), we define push-forwards for coherent Witt groups along proper morphisms between separated noetherian schemes. We also establish fundamental theorems for these push-forwards (e.g. base change and projection formula) and provide some computations.