Work

Zero-cycles on projective varieties and the norm principle

Year: 2009

Type: article

Abstract: Using the Gille–Merkurjev norm principle we compute in a uniform way the image of the degree map for quadrics (Springer’s theorem), for twisted forms of maximal orthogonal Grassmannians (a theorem of Bayer-Fluckiger and Lenstra), and for E 6 - (a theorem of Rost) and E 7 -varieties.

Source: Compositio Mathematica

DOI: 10.1112/s0010437x09004394

Authors: Philippe Gille, Nikita Semenov

Institutions: Centre National de la Recherche Scientifique, École Normale Supérieure - PSL, Département de mathématiques et applications, Ludwig-Maximilians-Universität München

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Deutsche Forschungsgemeinschaft

OpenAlex ID: W2151310346