Motivic Serre invariants modulo the square of $\mathbb {L}-1$
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Abstract:
Motivic Serre invariants defined by Loeser and Sebag are elements of the Grothendieck ring of varieties 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.References
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Additional Information
- Takehiko Yasuda
- Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
- MR Author ID: 683747
- ORCID: 0000-0001-8875-4533
- Email: takehikoyasuda@math.sci.osaka-u.ac.jp
- Received by editor(s): January 24, 2017
- Received by editor(s) in revised form: April 4, 2017
- Published electronically: September 6, 2017
- Additional Notes: Most of this work was done during the author’s stay at Institut des Hautes Études Scientifiques. He is grateful for its hospitality and great environment. He also wishes to thank François Loeser for inspiring discussion and helpful comments. This work was partly supported by JSPS KAKENHI grant No. JP15K17510 and JP16H06337.
- Communicated by: Lev Borisov
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 547-554
- MSC (2010): Primary 14D06; Secondary 14E05
- DOI: https://doi.org/10.1090/proc/13780
- MathSciNet review: 3731690