Episode
Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility
Dec 29, 2025•9:27
Number TheoryAlgebraic Geometry
Abstract
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 $p$.
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Cite This Paper
APA
Demeio, J., Gvirtz-Chen, D. (2025). Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility. arXiv preprint arXiv:2512.23615.
MLA
Julian Demeio and Damián Gvirtz-Chen. "Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility." arXiv preprint arXiv:2512.23615 (2025).