Push-forwards for Witt groups of schemes

Baptiste Calmès (1) , Jens Hornbostel

1 LML - Laboratoire de Mathématiques de Lens

We define push-forwards for Witt groups of schemes along proper morphisms, using Grothendieck duality theory. This article is an application of results of the authors on tensor-triangulated closed categories to such structures on some derived categories of schemes together with classical derived functors.

Domains: Algebraic Geometry [math.AG]; K-Theory and Homology [math.KT]

Baptiste Calmès, Jens Hornbostel. Push-forwards for Witt groups of schemes. 2008. ⟨hal-00424550⟩