Grothendieck-Katz conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909511037485056 |
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| author | Movasati, Hossein |
| author_facet | Movasati, Hossein |
| contents | In this article we prove that linear differential equations with only algebraic solutions have zero $m$-curvature modulo $p^k$ for all except a finite number of primes $p$ and all $k,m\in\mathbb N$ with ${\rm ord}_pm!\geq k$. This provides us with a reformulation of Grothendieck-Katz conjecture with stronger hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11829 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Grothendieck-Katz conjecture Movasati, Hossein Number Theory Algebraic Geometry In this article we prove that linear differential equations with only algebraic solutions have zero $m$-curvature modulo $p^k$ for all except a finite number of primes $p$ and all $k,m\in\mathbb N$ with ${\rm ord}_pm!\geq k$. This provides us with a reformulation of Grothendieck-Katz conjecture with stronger hypothesis. |
| title | Grothendieck-Katz conjecture |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2403.11829 |