Algebraic flat connections and o-minimality
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915400067842048 |
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| author | Esnault, Hélène Kerz, Moritz |
| author_facet | Esnault, Hélène Kerz, Moritz |
| contents | We prove that an algebraic flat connection has definable flat
sections in the analytic exponential structure if and only if it is regular singular with unitary monodromy eigenvalues at
infinity, refining previous work of Bakker and Mullane. This provides an o minimal
characterisation of classical properties of the Gauss-Manin connection.
v2: a few typos removed. Appears in the Laumon Volume, Springer Verlag, Simons subseries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07498 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic flat connections and o-minimality Esnault, Hélène Kerz, Moritz Algebraic Geometry We prove that an algebraic flat connection has definable flat sections in the analytic exponential structure if and only if it is regular singular with unitary monodromy eigenvalues at infinity, refining previous work of Bakker and Mullane. This provides an o minimal characterisation of classical properties of the Gauss-Manin connection. v2: a few typos removed. Appears in the Laumon Volume, Springer Verlag, Simons subseries. |
| title | Algebraic flat connections and o-minimality |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.07498 |