Intersection theory using Adams operations
The \(\lambda\)-structure of algebraic K-theory with supports is used to prove three results on intersection theory. The first result is a vanishing theorem for intersection multiplicities which was conjectured by Serre who proved it in several cases; another proof was obtained by Roberts. The second result describes, in positive characteristic, the action of the Frobenius endomorphism on the Euler characteristic of a complex; it is a special case of a conjecture by Szpiro. Finally, a multiplicative structure on the Chow groups of any noetherian regular scheme, after tensoring these by \({\mathbb{Q}}\) is introduced.
\(\lambda \)-structure of algebraic K-theory
vanishing theorem for intersection multiplicities
scientific article; zbMATH DE number 4027642
scientific article