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

Takehiko Yasuda

doi:10.1090/proc/13780

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

Algebraic Geometry 2024-02-27 v2

Authors: 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.

Keywords

motivic Serre invariants Grothendieck ring of varieties modulo lift tensoring with Q algebraic geometry

Cite

@article{arxiv.1612.06945,
  title  = {Motivic Serre invariants modulo the square of $\mathbb{L}-1$},
  author = {Takehiko Yasuda},
  journal= {arXiv preprint arXiv:1612.06945},
  year   = {2024}
}

Comments

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

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