Intersection theory using Adams operations
type: Item
instance of: scholarly article
title: Intersection theory using Adams operations
zbMATH Open document ID: 0632.14009
DOI: 10.1007/BF01388705
author: Henri Gillet
author: Christophe Soulé
published in: Inventiones Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143509
review text: 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.
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 4027642
zbMATH Keywords: \(\lambda \)-structure of algebraic K-theory
zbMATH Keywords: vanishing theorem for intersection multiplicities
zbMATH Keywords: action of the Frobenius
zbMATH Keywords: Euler characteristic
zbMATH Keywords: Chow groups
Wikidata QID: Q56286864
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4027642