Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913490348802048 |
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| author | Nagano, Atsuhira |
| author_facet | Nagano, Atsuhira |
| contents | We determine a simple expression of the Picard-Fuchs system for a family of Kummer surfaces for all principally polarized Abelian surfaces. It is given by a system of linear partial differential equations in three variables of rank five. Our results are based on a Jacobian elliptic fibration on Kummer surfaces and a GKZ hypergeometric system suited to the elliptic fibration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14271 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system Nagano, Atsuhira Algebraic Geometry Complex Variables Primary 14J28, Secondary 33C75, 14J27 We determine a simple expression of the Picard-Fuchs system for a family of Kummer surfaces for all principally polarized Abelian surfaces. It is given by a system of linear partial differential equations in three variables of rank five. Our results are based on a Jacobian elliptic fibration on Kummer surfaces and a GKZ hypergeometric system suited to the elliptic fibration. |
| title | Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system |
| topic | Algebraic Geometry Complex Variables Primary 14J28, Secondary 33C75, 14J27 |
| url | https://arxiv.org/abs/2408.14271 |