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.

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