Year: 2010
Type: article
Abstract: A motivic measure is a ring homomorphism from the Grothendieck group of a field K (with multiplication coming from the fiber product over Spec K ) to some field.We show that if a real-valued motivic measure µ satisfies µ([V ]) ≥ 0 for all K -varieties V , then µ is a counting measure; that is, there exists a finite field
Source: Algebra & Number Theory
Authors: Jordan Ellenberg, Michael Larsen
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2963776807