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Local
solubility for a family of quadrics over a split quadric
surface
Tim Browning, Julian Lyczak and Roman Sarapin |
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Vol. 16 (2023), No. 2, 331–342
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Abstract |
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We study the density of everywhere locally soluble diagonal quadric surfaces, parametrised by rational points that lie on a split quadric surface. |
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Keywords
quadratic form, local solubility, large sieve,
Loughran–Smeets conjecture
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Mathematical Subject Classification
Primary: 14G05
Secondary: 11N36, 14D10
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Milestones
Received: 13 March 2022
Revised: 2 June 2022
Accepted: 2 June 2022
Published: 26 May 2023
Communicated by Steven J. Miller
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Authors |
| Tim Browning | |
| Institute of Science and Technology
Austria Klosterneuburg Austria |
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| Julian Lyczak | |
| Institute of Science and Technology
Austria Klosterneuburg Austria |
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| Roman Sarapin | |
| V. N. Karazin Kharkiv National
University Kharkiv Ukraine |
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| © 2023 MSP (Mathematical Sciences Publishers). |
