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- W4320086670 abstract "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 Property; this was proved by Demeio for Kummer surfaces which are associated to products of two elliptic curves. In this article, over a finitely generated field of characteristic zero, we establish the Hilbert Property for all Kummer surfaces associated to the Jacobian of a genus $2$ curve. In general we prove that all Jacobian Kummer varieties associated to a hyperelliptic curve of genus $geq 2$ of odd degree also have the Hilbert Property." @default.
- W4320086670 created "2023-02-12" @default.
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- W4320086670 date "2022-05-09" @default.
- W4320086670 modified "2023-09-29" @default.
- W4320086670 title "Rational curves and the Hilbert Property on Jacobian Kummer varieties" @default.
- W4320086670 doi "https://doi.org/10.48550/arxiv.2205.04364" @default.
- W4320086670 hasPublicationYear "2022" @default.
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