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- W4386829530 abstract "Abstract We prove that the integral points are potentially Zariski dense in the complement of a reduced effective singular anticanonical divisor in a smooth del Pezzo surface, with the exception of ${{mathbb {P}}}^{2}$ minus three concurrent lines (for which potential density does not hold). This answers positively a question raised by Hassett and Tschinkel and, combined with previous results, completes the proof of the potential density of integral points for complements of anticanonical divisors in smooth del Pezzo surfaces. We then classify the complements that are simply connected and for these we prove that the set of integral points is potentially not thin, as predicted by a conjecture of Corvaja and Zannier." @default.
- W4386829530 created "2023-09-19" @default.
- W4386829530 creator A5053683833 @default.
- W4386829530 date "2023-09-18" @default.
- W4386829530 modified "2023-09-26" @default.
- W4386829530 title "A Hilbert Irreducibility Theorem for Integral Points on del Pezzo Surfaces" @default.
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- W4386829530 doi "https://doi.org/10.1093/imrn/rnad189" @default.
- W4386829530 hasPublicationYear "2023" @default.
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