Dimension of the motivic Galois group of a 1-motive
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913098301964288 |
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| author | Bertolin, Cristiana |
| author_facet | Bertolin, Cristiana |
| contents | We compute the dimension of the motivic Galois group of a 1-motive M defined over the field of complex numbers, expressing it explicitly in terms of the rank of the multiplicative group generated by the points defining M. As an application, we obtain a new formulation of the Grothendieck--André periods Conjecture in the setting of 1-motives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24128 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dimension of the motivic Galois group of a 1-motive Bertolin, Cristiana Algebraic Geometry Number Theory We compute the dimension of the motivic Galois group of a 1-motive M defined over the field of complex numbers, expressing it explicitly in terms of the rank of the multiplicative group generated by the points defining M. As an application, we obtain a new formulation of the Grothendieck--André periods Conjecture in the setting of 1-motives. |
| title | Dimension of the motivic Galois group of a 1-motive |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2604.24128 |