Graded rings of Hermitian modular forms with singularities

Wang, Haowu; Williams, Brandon

doi:10.1007/s00229-021-01367-7

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Graded rings of Hermitian modular forms with singularities

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Wang, Haowu
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00229-021-01367-7
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https://doi.org/10.48550/arXiv.2106.15985
(Preprint)

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Citation

Wang, H., & Williams, B. (2023). Graded rings of Hermitian modular forms with singularities. Manuscripta mathematica, 170(1-2), 283-311. doi:10.1007/s00229-021-01367-7.

Cite as: https://hdl.handle.net/21.11116/0000-0009-CFD9-A

Abstract

We study graded rings of meromorphic Hermitian modular forms of degree two whose poles are supported on an arrangement of Heegner divisors. For the group SU2,2(OK) where K is the imaginary-quadratic number field of discriminant −d, d∈{4,7,8,11,15,19,20,24} we obtain a polynomial algebra without relations. In particular the Looijenga compactifications of the arrangement complements are weighted projective spaces.