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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.04293 |
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| _version_ | 1866929529429164032 |
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| author | Adolphson, Alan Sperber, Steven |
| author_facet | Adolphson, Alan Sperber, Steven |
| contents | We give a class of examples of $A$-hypergeometric systems that display integrality of mirror maps. Specifically, these systems have solutions $F(λ_1,\dots,λ_N) = 1$ and $\logλ^l + G(λ_1,\dots,λ_N)$ (for certain $l\in{\mathbb Z}^N$) such that $\exp G(λ)$ has integral coefficients. The proof requires only some elementary congruences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04293 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the integrality of mirror maps Adolphson, Alan Sperber, Steven Number Theory Algebraic Geometry We give a class of examples of $A$-hypergeometric systems that display integrality of mirror maps. Specifically, these systems have solutions $F(λ_1,\dots,λ_N) = 1$ and $\logλ^l + G(λ_1,\dots,λ_N)$ (for certain $l\in{\mathbb Z}^N$) such that $\exp G(λ)$ has integral coefficients. The proof requires only some elementary congruences. |
| title | A note on the integrality of mirror maps |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2410.04293 |