Motivic Serre invariants modulo the square of $\mathbb{L}-1$
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arXiv
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| Format: | Preprint |
| Publié: |
2016
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| _version_ | 1866917596137259008 |
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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 |