Using suitable closed symmetric monoidal structures on derived categories of schemes, as well as adjunctions of the type and (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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Baptiste Calmès, Jens Hornbostel, Push-forwards for Witt groups of schemes. Comment. Math. Helv. 86 (2011), no. 2, pp. 437–468DOI 10.4171/CMH/230