Intersection complex of any threefold as a Chow motive
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912740480647168 |
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| author | Rastogi, Shruti Vaish, Vaibhav |
| author_facet | Rastogi, Shruti Vaish, Vaibhav |
| contents | Motivated by the characterization of the intersection complex in terms of S$.$Morel's weight truncations, we introduced an object $EM^{F}_{X}$ in the setting of motivic sheaves for certain schemes $X$ and weight profiles $F$. In this article, we show that when $X$ is any threefold, this object satisfies Wildeshaus's characterization of a motivic intersection complex. In particular, we demonstrate that the construction is a suitably functorial Chow motive lifting the motivic intersection complex for an arbitrary threefold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intersection complex of any threefold as a Chow motive Rastogi, Shruti Vaish, Vaibhav Algebraic Geometry Motivated by the characterization of the intersection complex in terms of S$.$Morel's weight truncations, we introduced an object $EM^{F}_{X}$ in the setting of motivic sheaves for certain schemes $X$ and weight profiles $F$. In this article, we show that when $X$ is any threefold, this object satisfies Wildeshaus's characterization of a motivic intersection complex. In particular, we demonstrate that the construction is a suitably functorial Chow motive lifting the motivic intersection complex for an arbitrary threefold. |
| title | Intersection complex of any threefold as a Chow motive |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.01297 |