29 citations · 138 across the 15 of their papers we have counts for
4 papers · 1 filter
Witt groups of Grassmann varieties
Paul Balmer, Baptiste Calmès
We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis fo…
Geometric description of the connecting homomorphism for Witt groups
Paul Balmer, Baptiste Calmès
We give a geometric setup in which the connecting homomorphism in the localization long exact sequence for Witt groups decomposes as the pull-back to the exceptional fiber of a sui…
Tensor-triangulated categories and dualities
Baptiste Calmès, Jens Hornbostel
In a triangulated symmetric monoidal closed category, there are natural dualities induced by the internal Hom. Given a monoidal functor f^* between two such catgories and adjoint c…
Push-forwards for Witt groups of schemes
Baptiste Calmès, Jens Hornbostel
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-tri…