A proof of the integral identity conjecture, II

Abstract

In this note, using Cluckers-Loeser's theory of motivic integration, we prove the integral identity conjecture with framework a localized Grothendieck ring of varieties over an arbitrary base field of characteristic zero.

arXiv commentChanged the content in comparison with the first version. To appear in Comptes Rendus Mathématique

References in corpus (5)

• Motivic Igusa zeta functions
• Germs of arcs on singular algebraic varieties and motivic integration
• Constructible motivic functions and motivic integration
• A trace formula for rigid varieties, and motivic Weil generating series for formal schemes
• Proofs of the integral identity conjecture over algebraically closed fields

Cited by in corpus (2)

• On motivic Joyce-Song formula for the Behrend function identities
• The moduli space of stable coherent sheaves via non-archimedean geometry