Geometric interpretation of Hermitian modular forms via Burkhardt invariants
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916351563530240 |
|---|---|
| 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 |