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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.19998 |
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| _version_ | 1866914411349803008 |
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| author | Talpo, Mattia |
| author_facet | Talpo, Mattia |
| contents | We show exactness of the homotopy sequence for the logarithmic fundamental group in the case of log smooth, finitely presented, proper and saturated morphisms of fs log schemes over a field. This generalizes earlier results of Hoshi in the log regular case. In passing, we also construct a "log Stein factorization" in some particular cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19998 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The log homotopy exact sequence Talpo, Mattia Algebraic Geometry 14A21, 14D06, 14F35 We show exactness of the homotopy sequence for the logarithmic fundamental group in the case of log smooth, finitely presented, proper and saturated morphisms of fs log schemes over a field. This generalizes earlier results of Hoshi in the log regular case. In passing, we also construct a "log Stein factorization" in some particular cases. |
| title | The log homotopy exact sequence |
| topic | Algebraic Geometry 14A21, 14D06, 14F35 |
| url | https://arxiv.org/abs/2603.19998 |