Generating Picard modular forms by means of invariant theory
| Authors |
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|---|---|
| Publication date | 2023 |
| Journal | Pure and Applied Mathematics Quarterly |
| Volume | Issue number | 19 | 1 |
| Pages (from-to) | 95-147 |
| Number of pages | 53 |
| Organisations |
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| Abstract | We use the description of the Picard modular surface for discriminant -3 as a moduli space of curves of genus 3 to generate all vector-valued Picard modular forms from bi-covariants for the action of GL2 on the space of pairs of binary forms of bi-degree (4, 1). The universal binary forms of degree 4 and 1 correspond to a meromorphic modular form of weight (4, -2)and a holomorphic Eisenstein series of weight (1, 1). |
| Document type | Article |
| Note | In Special Issue in honor of Don Zagier |
| Language | English |
| Published at |
https://doi.org/10.48550/arXiv.2110.00849
(Submitted manuscript)
https://doi.org/10.4310/PAMQ.2023.v19.n1.a6
(Final published version)
|
| Downloads |
2110.00849
(Submitted manuscript)
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