Equivariant motivic integration and proof of the integral identity conjecture for regular functions

Abstract

We develop the Denef-Loeser motivic integration to the equivariant motivic integration and use it to prove the full integral identity conjecture for regular functions.

22 pages

References in corpus (3)

• A trace formula for rigid varieties, and motivic Weil generating series for formal schemes
• Motivic Serre invariants, ramification, and the analytic Milnor fiber
• A tropical motivic Fubini theorem with applications to Donaldson-Thomas theory

Cited by in corpus (1)

• The integral identity conjecture in motivic homotopy theory