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

Fuente: arXiv
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Autore principale: Yasuda, Takehiko
Natura: Preprint
Pubblicazione: 2016
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author Yasuda, Takehiko
author_facet Yasuda, Takehiko
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1612_06945
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle Motivic Serre invariants modulo the square of $\mathbb{L}-1$
Yasuda, Takehiko
Algebraic Geometry
14D06, 14E05
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.
title Motivic Serre invariants modulo the square of $\mathbb{L}-1$
topic Algebraic Geometry
14D06, 14E05
url https://arxiv.org/abs/1612.06945