Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914223997583360 |
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| author | Demeio, Julian Gvirtz-Chen, Damián |
| author_facet | Demeio, Julian Gvirtz-Chen, Damián |
| contents | We establish non-unirational versions of Hilbert Irreducibility for all Hilbert modular surfaces which are of K3 type. As an application we prove new instances of the regular Inverse Galois Problem for the simple groups $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ subject to congruence conditions on $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility Demeio, Julian Gvirtz-Chen, Damián Number Theory Algebraic Geometry 12F12 (Primary) 11F41, 11G18, 14G05, 14J27, 14J28 (Secondary) We establish non-unirational versions of Hilbert Irreducibility for all Hilbert modular surfaces which are of K3 type. As an application we prove new instances of the regular Inverse Galois Problem for the simple groups $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ subject to congruence conditions on $p$. |
| title | Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility |
| topic | Number Theory Algebraic Geometry 12F12 (Primary) 11F41, 11G18, 14G05, 14J27, 14J28 (Secondary) |
| url | https://arxiv.org/abs/2512.23615 |