Divisorial fans and algebraic torus actions over arbitrary fields
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909976752029696 |
|---|---|
| author | Martinez-Nunez, Gary |
| author_facet | Martinez-Nunez, Gary |
| contents | We provide a algebro-geometric combinatorial description of geometrically integral geometrically normal varieties endowed with an effective action of an algebraic torus over arbitrary fields. This description is achieved in terms of divisorial fans endowed with a Galois semilinear action. This work concludes the description of normal $T$-varieties over fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Divisorial fans and algebraic torus actions over arbitrary fields Martinez-Nunez, Gary Algebraic Geometry We provide a algebro-geometric combinatorial description of geometrically integral geometrically normal varieties endowed with an effective action of an algebraic torus over arbitrary fields. This description is achieved in terms of divisorial fans endowed with a Galois semilinear action. This work concludes the description of normal $T$-varieties over fields. |
| title | Divisorial fans and algebraic torus actions over arbitrary fields |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.22432 |