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Resumen de Push-forwards for Witt groups of schemes

Baptiste Calmès, J. Hornbostel

  • Using suitable closed symmetric monoidal structures on derived categories of schemes, as well as adjunctions of the type (Lf?,Rf?) and (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.


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