שמור ב:
| Main Authors: | , |
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| פורמט: | Preprint |
| יצא לאור: |
2020
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| נושאים: | |
| גישה מקוונת: | https://arxiv.org/abs/2004.08081 |
| תגים: |
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| _version_ | 1866916351563530240 |
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| author | Nagano, Atsuhira Shiga, Hironori |
| author_facet | Nagano, Atsuhira Shiga, Hironori |
| contents | We give a complete theta expression of a pair of Hermitian modular forms as an inverse period mapping of lattice polarized $K3$ surfaces. Our result gives a non-trivial relation among moduli of $K3$ surfaces, theta functions and the finite complex reflection group of rank $5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_08081 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Geometric interpretation of Hermitian modular forms via Burkhardt invariants Nagano, Atsuhira Shiga, Hironori Number Theory Algebraic Geometry We give a complete theta expression of a pair of Hermitian modular forms as an inverse period mapping of lattice polarized $K3$ surfaces. Our result gives a non-trivial relation among moduli of $K3$ surfaces, theta functions and the finite complex reflection group of rank $5$. |
| title | Geometric interpretation of Hermitian modular forms via Burkhardt invariants |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2004.08081 |