Motivic Serre invariants modulo the square of $\mathbb{L}-1$

Abstract

Motivic Serre invariants defined by Loeser and Sebag are elements of the Grothendieck ring of varities modulo $\mathbb{L}-1$. In this paper, we show that we can lift these invariants to modulo the square of $\mathbb{L}-1$ after tensoring the Grothendieck ring with $\mathbb{Q}$, under certain assumptions.

8 pages, to appear in Proceedings of the American Mathematical Society, v2: minor changes

References in corpus (3)

• Desingularization of quasi-excellent schemes in characteristic zero
• Motivic Serre invariants, ramification, and the analytic Milnor fiber
• Monodromy and the Lefschetz fixed point formula