Log geometry and lifting rational points
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909789163880448 |
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| author | Herr, Leo Mehidi, Sara Pieropan, Marta Poiret, Thibault |
| author_facet | Herr, Leo Mehidi, Sara Pieropan, Marta Poiret, Thibault |
| contents | For a morphism $f : X \to Y$ of schemes, we give a tropical criterion for which points of $Y$ (valued in a field, discrete valuation ring, number ring, or Dedekind domain) lift to $X$. Our criterion extends the firmaments of Abramovich to a wide range of morphisms, even logarithmic stable maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12167 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Log geometry and lifting rational points Herr, Leo Mehidi, Sara Pieropan, Marta Poiret, Thibault Algebraic Geometry Number Theory For a morphism $f : X \to Y$ of schemes, we give a tropical criterion for which points of $Y$ (valued in a field, discrete valuation ring, number ring, or Dedekind domain) lift to $X$. Our criterion extends the firmaments of Abramovich to a wide range of morphisms, even logarithmic stable maps. |
| title | Log geometry and lifting rational points |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2509.12167 |