[{"date_created":"2025-04-05T10:49:27Z","citation":{"mla":"Chan, Stephanie, et al. “6-Torision and Integral Points on Quartic Threefolds.” <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>, 18, Scuola Normale Superiore - Edizioni della Normale, 2025, doi:<a href=\"https://doi.org/10.2422/2036-2145.202412_006\">10.2422/2036-2145.202412_006</a>.","apa":"Chan, S., Koymans, P., Pagano, C., &#38; Sofos, E. (2025). 6-torision and integral points on quartic threefolds. <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale. <a href=\"https://doi.org/10.2422/2036-2145.202412_006\">https://doi.org/10.2422/2036-2145.202412_006</a>","ieee":"S. Chan, P. Koymans, C. Pagano, and E. Sofos, “6-torision and integral points on quartic threefolds,” <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2025.","short":"S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).","ama":"Chan S, Koymans P, Pagano C, Sofos E. 6-torision and integral points on quartic threefolds. <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>. 2025. doi:<a href=\"https://doi.org/10.2422/2036-2145.202412_006\">10.2422/2036-2145.202412_006</a>","chicago":"Chan, Stephanie, Peter Koymans, Carlo Pagano, and Efthymios Sofos. “6-Torision and Integral Points on Quartic Threefolds.” <i>Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2025. <a href=\"https://doi.org/10.2422/2036-2145.202412_006\">https://doi.org/10.2422/2036-2145.202412_006</a>.","ista":"Chan S, Koymans P, Pagano C, Sofos E. 2025. 6-torision and integral points on quartic threefolds. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze., 18."},"type":"journal_article","das_tickbox":"0","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"07","title":"6-torision and integral points on quartic threefolds","date_published":"2025-03-07T00:00:00Z","department":[{"_id":"TiBr"}],"article_number":"18","status":"public","_id":"19483","abstract":[{"lang":"eng","text":"We prove matching upper and lower bounds for the average of the6-torsionof class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic threefold."}],"researchdata_availability":"no","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2403.13359","open_access":"1"}],"external_id":{"arxiv":["2403.13359"]},"year":"2025","publication":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze","publisher":"Scuola Normale Superiore - Edizioni della Normale","supplementarymaterial":"no","oa_version":"Preprint","OA_place":"repository","date_updated":"2026-07-16T09:35:52Z","doi":"10.2422/2036-2145.202412_006","arxiv":1,"article_processing_charge":"No","fulldoi":"https://doi.org/10.2422/2036-2145.202412_006","corr_author":"1","oa":1,"publication_identifier":{"eissn":["2036-2145"],"issn":["0391-173X"]},"author":[{"id":"c4c0afc8-9262-11ed-9231-d8b0bc743af1","first_name":"Yik Tung","last_name":"Chan","orcid":"0000-0001-8467-4106","full_name":"Chan, Yik Tung"},{"full_name":"Koymans, Peter","first_name":"Peter","last_name":"Koymans"},{"full_name":"Pagano, Carlo","last_name":"Pagano","first_name":"Carlo"},{"full_name":"Sofos, Efthymios","last_name":"Sofos","first_name":"Efthymios"}],"language":[{"iso":"eng"}],"article_type":"original","month":"03","publication_status":"epub_ahead","OA_type":"green"},{"publication":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze","publisher":"Scuola Normale Superiore - Edizioni della Normale","date_updated":"2026-07-29T10:10:35Z","quality_controlled":"1","oa_version":"Preprint","supplementarymaterial":"no","page":"173-204","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2007.14182","open_access":"1"}],"external_id":{"arxiv":["2007.14182"]},"volume":24,"year":"2023","language":[{"iso":"eng"}],"author":[{"full_name":"Bonolis, Dante","id":"6A459894-5FDD-11E9-AF35-BB24E6697425","first_name":"Dante","last_name":"Bonolis"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"}],"month":"02","article_type":"original","intvolume":"        24","publication_status":"published","doi":"10.2422/2036-2145.202010_018","publication_identifier":{"issn":["0391-173X"],"eissn":["2036-2145"]},"oa":1,"corr_author":"1","fulldoi":"https://doi.org/10.2422/2036-2145.202010_018","article_processing_charge":"No","arxiv":1,"title":"Uniform bounds for rational points on hyperelliptic fibrations","day":"16","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","scopus_import":"1","issue":"1","citation":{"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>","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>.","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.","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>","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.","short":"D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze 24 (2023) 173–204.","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>."},"date_created":"2023-05-07T22:01:04Z","das_tickbox":"0","type":"journal_article","researchdata_availability":"no","_id":"12916","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"}],"department":[{"_id":"TiBr"}],"date_published":"2023-02-16T00:00:00Z","status":"public"}]