Torsion in abelian fundamental group and its application
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916553418604544 |
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| author | Gupta, Rahul Rathore, Jitendra |
| author_facet | Gupta, Rahul Rathore, Jitendra |
| contents | We prove that the torsion subgroup of the abelian fundamental group is finite for a regular geometrically integral projective variety over a local field. We also study the structure of $SK_1(X)$ for a regular projective variety $X$ over a local field. As an application, we get class field theory for regular projective curves over local fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Torsion in abelian fundamental group and its application Gupta, Rahul Rathore, Jitendra Algebraic Geometry Primary 14G20, Secondary 14H30, 14C35 We prove that the torsion subgroup of the abelian fundamental group is finite for a regular geometrically integral projective variety over a local field. We also study the structure of $SK_1(X)$ for a regular projective variety $X$ over a local field. As an application, we get class field theory for regular projective curves over local fields. |
| title | Torsion in abelian fundamental group and its application |
| topic | Algebraic Geometry Primary 14G20, Secondary 14H30, 14C35 |
| url | https://arxiv.org/abs/2501.03431 |