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arXiv · 1612.06945

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

Takehiko Yasuda
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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.

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Takehiko Yasuda. 2016-12-21. Motivic Serre invariants modulo the square of $\mathbb{L}-1$. https://doi.org/10.1090/proc%2F13780

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