Blow-up invariance for Hodge-Witt sheaves with modulus
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910444562677760 |
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| author | Shiho, Atsushi |
| author_facet | Shiho, Atsushi |
| contents | In this paper, we prove the blow-up invariance for Hodge-Witt sheaves with modulus, which is a generalization of a result of Koizumi for Witt sheaves and that of Kelly-Miyazaki and Koizumi for Hodge sheaves. As a consequence, we obtain the representability of Hodge-Witt sheaves with modulus in the category of motives with modulus under the assumption of resolution of singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Blow-up invariance for Hodge-Witt sheaves with modulus Shiho, Atsushi Algebraic Geometry Number Theory 14F30 In this paper, we prove the blow-up invariance for Hodge-Witt sheaves with modulus, which is a generalization of a result of Koizumi for Witt sheaves and that of Kelly-Miyazaki and Koizumi for Hodge sheaves. As a consequence, we obtain the representability of Hodge-Witt sheaves with modulus in the category of motives with modulus under the assumption of resolution of singularities. |
| title | Blow-up invariance for Hodge-Witt sheaves with modulus |
| topic | Algebraic Geometry Number Theory 14F30 |
| url | https://arxiv.org/abs/2405.07849 |