Logarithmic purity and logarithmic Nori fundamental group
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918407498104832 |
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| author | Mehidi, Sara |
| author_facet | Mehidi, Sara |
| contents | We generalize the logarithmic purity theorem of Fujiwara-Kato to torsors which arise in the Kummer log flat topology under finite flat linearly reductive group schemes. As an application, we construct the logarithmic Nori fundamental group of a log regular log scheme classifying those torsors, and compare it to classical Nori fundamental group and tame fundamental group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23697 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Logarithmic purity and logarithmic Nori fundamental group Mehidi, Sara Algebraic Geometry We generalize the logarithmic purity theorem of Fujiwara-Kato to torsors which arise in the Kummer log flat topology under finite flat linearly reductive group schemes. As an application, we construct the logarithmic Nori fundamental group of a log regular log scheme classifying those torsors, and compare it to classical Nori fundamental group and tame fundamental group. |
| title | Logarithmic purity and logarithmic Nori fundamental group |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.23697 |