Dualization in algebraic K-theory and invariant e1 of quadratic forms over schemes, by Marek Szyjewski

Long overdue paper introduces a group homomorphism e1 from a subgroup I(X,L)=Ker(e0) of Witt group W(X,L) to certain subfactor of K1 (X). In the case when X is a spectrum of a field, e1 reduces to usual discriminant. There are applications, e.g., for a conic.

Marek Szyjewski <szyjewsk@ux2.math.us.edu.pl>