Damián Gvirtz-Chen

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math.NT2025

Galois Realisations of $PSL_{2} (F_{p^{2}})$ via non-unirational Hilbert Irreducibility

Julian Demeio, DamiÃ¡n Gvirtz-Chen

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 Inver…

math.NT2025

Rational curves and the Hilbert Property on Jacobian Kummer varieties

DamiÃ¡n Gvirtz-Chen, Zhizhong Huang

A conjecture by Corvaja and Zannier predicts that smooth, projective, simply connected varieties over a number field with Zariski dense set of rational points have the Hilbert Prop…

Galois Realisations of PSL2​(Fp2​) via non-unirational Hilbert Irreducibility

Rational curves and the Hilbert Property on Jacobian Kummer varieties

Galois Realisations of $PSL_{2} (F_{p^{2}})$ via non-unirational Hilbert Irreducibility