Proper polyhedral divisors and torus actions over arbitrary fields
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915522851897344 |
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| author | Martinez-Nunez, Gary |
| author_facet | Martinez-Nunez, Gary |
| contents | We provide a algebro-geometric combinatorial description of geometrically integral geometrically normal affine varieties endowed with an effective action of an algebraic torus over arbitrary fields. This description is achieved in terms of proper polyhedral divisors endowed with a Galois semilinear action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proper polyhedral divisors and torus actions over arbitrary fields Martinez-Nunez, Gary Algebraic Geometry 14L24, 14L30 We provide a algebro-geometric combinatorial description of geometrically integral geometrically normal affine varieties endowed with an effective action of an algebraic torus over arbitrary fields. This description is achieved in terms of proper polyhedral divisors endowed with a Galois semilinear action. |
| title | Proper polyhedral divisors and torus actions over arbitrary fields |
| topic | Algebraic Geometry 14L24, 14L30 |
| url | https://arxiv.org/abs/2506.22734 |