Weak approximation for del Pezzo surfaces of low degree

Demeio, Julian; Streeter, Sam

doi:10.1093/imrn/rnac167

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Weak approximation for del Pezzo surfaces of low degree

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Demeio, Julian
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1093/imrn/rnac167
(Publisher version)

https://doi.org/10.48550/arXiv.2111.11409
(Preprint)

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2111.11409.pdf
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Citation

Demeio, J., & Streeter, S. (2023). Weak approximation for del Pezzo surfaces of low degree. International Mathematics Research Notices, 2023(13), 11549-11576. doi:10.1093/imrn/rnac167.

Cite as: https://hdl.handle.net/21.11116/0000-000A-D30F-8

Abstract

We prove, via an “arithmetic surjectivity” approach inspired by work of Denef, that weak weak approximation holds for surfaces with two conic fibrations satisfying a general assumption. In particular, weak weak approximation holds for general del Pezzo surfaces of degrees 1 or 2 with a conic fibration.