An invariant of quadratic forms over schemes
Marek SzyjewskiInstytut Matematyki Uniwersytet Slaski PL 40007 Katowice, ul. Bankowa 14, Poland
A ring homomorphism from the Witt ring of a scheme into a proper subquotient of the Grothendieck ring is a natural generalization of the dimension index for a Witt ring of a field. In the case of an even dimensional projective quadric , the value of on the Witt class of a bundle of an endomorphisms of an indecomposable component of the Swan sheaf with the trace of a product as a bilinear form is outside of the image of composition . Therefore the Witt class of is not extended.
Cite this article
Marek Szyjewski, An invariant of quadratic forms over schemes. Doc. Math. 1 (1996), pp. 449–478DOI 10.4171/DM/19