{"title":"Uniform bounds for rational points on hyperelliptic fibrations","status":"public","month":"02","publication_identifier":{"eissn":["2036-2145"],"issn":["0391-173X"]},"type":"journal_article","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","date_published":"2023-02-16T00:00:00Z","date_created":"2023-05-07T22:01:04Z","oa_version":"Preprint","scopus_import":"1","quality_controlled":"1","abstract":[{"text":"We apply a variant of the square-sieve to produce an upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over P1 whose general fibre is a hyperelliptic curve. The implied constant does not depend on the coefficients of the polynomial defining the surface.\r\n","lang":"eng"}],"intvolume":"        24","citation":{"ista":"Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 24(1), 173–204.","ama":"Bonolis D, Browning TD. Uniform bounds for rational points on hyperelliptic fibrations. <i>Annali della Scuola Normale Superiore di Pisa - Classe di Scienze</i>. 2023;24(1):173-204. doi:<a href=\"https://doi.org/10.2422/2036-2145.202010_018\">10.2422/2036-2145.202010_018</a>","short":"D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.","chicago":"Bonolis, Dante, and Timothy D Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” <i>Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2023. <a href=\"https://doi.org/10.2422/2036-2145.202010_018\">https://doi.org/10.2422/2036-2145.202010_018</a>.","apa":"Bonolis, D., &#38; Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. <i>Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale. <a href=\"https://doi.org/10.2422/2036-2145.202010_018\">https://doi.org/10.2422/2036-2145.202010_018</a>","mla":"Bonolis, Dante, and Timothy D. Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” <i>Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze</i>, vol. 24, no. 1, Scuola Normale Superiore - Edizioni della Normale, 2023, pp. 173–204, doi:<a href=\"https://doi.org/10.2422/2036-2145.202010_018\">10.2422/2036-2145.202010_018</a>.","ieee":"D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” <i>Annali della Scuola Normale Superiore di Pisa - Classe di Scienze</i>, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023."},"author":[{"full_name":"Bonolis, Dante","last_name":"Bonolis","first_name":"Dante","id":"6A459894-5FDD-11E9-AF35-BB24E6697425"},{"full_name":"Browning, Timothy D","last_name":"Browning","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"}],"department":[{"_id":"TiBr"}],"publication_status":"published","external_id":{"arxiv":["2007.14182"]},"day":"16","volume":24,"year":"2023","publisher":"Scuola Normale Superiore - Edizioni della Normale","oa":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2007.14182","open_access":"1"}],"date_updated":"2023-10-18T06:54:30Z","publication":"Annali della Scuola Normale Superiore di Pisa - Classe di Scienze","_id":"12916","doi":"10.2422/2036-2145.202010_018","issue":"1","page":"173-204"}