Geometric description of the connecting homomorphism for Witt groups

Paul Balmer (1) , Baptiste Calmès (2)

1 Department of Mathematics [UCLA]
2 LML - Laboratoire de Mathématiques de Lens

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 suitable blow-up followed by a push-forward.

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

Paul Balmer, Baptiste Calmès. Geometric description of the connecting homomorphism for Witt groups. 2008. ⟨hal-00424549⟩