Push-forwards for Witt groups of schemes

  • Baptiste Calmès

    Université d'Artois, Lens, France
  • Jens Hornbostel

    Bergische Universität Wuppertal, Germany


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.

Cite this article

Baptiste Calmès, Jens Hornbostel, Push-forwards for Witt groups of schemes. Comment. Math. Helv. 86 (2011), no. 2, pp. 437–468

DOI 10.4171/CMH/230