Push-forwards for Witt groups of schemes

• Autores: Baptiste Calmès, J. Hornbostel
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 86, Nº 2, 2011, págs. 437-468
• Idioma: inglés
• DOI: 10.4171/cmh/230
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• Resumen

  • 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.