Counting rational points on quartic del Pezzo surfaces with a rational conic

Browning, T.D. and Sofos, E. (2019) Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen, 373(3-4), pp. 977-1016. (doi: 10.1007/s00208-018-1716-6)

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Abstract

Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over Q that contains a conic defined over Q.

Item Type:Articles
Additional Information:Open access funding provided by the Max Planck Society. While working on this paper the first author was supported by ERC Grant 306457.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Sofos, Dr Efthymios
Authors: Browning, T.D., and Sofos, E.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematische Annalen
Publisher:Springer
ISSN:0025-5831
ISSN (Online):1432-1807
Published Online:14 July 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in Mathematische Annalen 373(3-4): 977-1016
Publisher Policy:Reproduced under a Creative Commons License

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