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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.27416 |
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| _version_ | 1866913075802669056 |
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| author | Aradachi, Rei Nakayama, Hiromasa Sekiguchi, Jiro |
| author_facet | Aradachi, Rei Nakayama, Hiromasa Sekiguchi, Jiro |
| contents | In this article, we first explain a group theoretic interpretation of the derivation of the relation between the flat coordinates of the polynomial prepotential $(H_3)$ and those of the algebraic prepotential $(H_3)'$ given in \cite{KMS2} constructed by M. Feigin, D. Valeri and J. Wright \cite{FVW}. By the same idea explained in the case of $(H_3)$, we will show a relation between the flat coordinates of the polynomial prepotential $(H_4)$ and those of the algebraic prepotential $H_4(9)$ given in \cite{Se}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27416 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$ Aradachi, Rei Nakayama, Hiromasa Sekiguchi, Jiro Commutative Algebra In this article, we first explain a group theoretic interpretation of the derivation of the relation between the flat coordinates of the polynomial prepotential $(H_3)$ and those of the algebraic prepotential $(H_3)'$ given in \cite{KMS2} constructed by M. Feigin, D. Valeri and J. Wright \cite{FVW}. By the same idea explained in the case of $(H_3)$, we will show a relation between the flat coordinates of the polynomial prepotential $(H_4)$ and those of the algebraic prepotential $H_4(9)$ given in \cite{Se}. |
| title | Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$ |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2604.27416 |