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  Weak approximation for del Pezzo surfaces of low degree

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-D30F-8 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-2999-8
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 Creators:
Demeio, Julian1, Author           
Streeter, Sam, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Number Theory
 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.

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Language(s): eng - English
 Dates: 2023
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 2111.11409
DOI: 10.1093/imrn/rnac167
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Title: International Mathematics Research Notices
Source Genre: Journal
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Publ. Info: Oxford University Press
Pages: - Volume / Issue: 2023 (13) Sequence Number: - Start / End Page: 11549 - 11576 Identifier: -