Poincaré duality in logarithmic motivic homotopy theory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914331792244736 |
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| author | Park, Doosung |
| author_facet | Park, Doosung |
| contents | By adapting arguments of Annala-Hoyois-Iwasa in the log setting, we prove Poincaré duality for smooth projective morphisms in logarithmic motivic homotopy theory. As an application, we show that the crystalline cohomology of a log compactification is independent of the choice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14574 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Poincaré duality in logarithmic motivic homotopy theory Park, Doosung Algebraic Geometry 14F42, 14A21, 14F30 By adapting arguments of Annala-Hoyois-Iwasa in the log setting, we prove Poincaré duality for smooth projective morphisms in logarithmic motivic homotopy theory. As an application, we show that the crystalline cohomology of a log compactification is independent of the choice. |
| title | Poincaré duality in logarithmic motivic homotopy theory |
| topic | Algebraic Geometry 14F42, 14A21, 14F30 |
| url | https://arxiv.org/abs/2602.14574 |