[{"publication_status":"published","publisher":"Springer Nature","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).The authors are grateful to Florian Wilsch for useful comments. While working on this paper the authors were supported by FWF grant P 32428.","date_created":"2024-04-21T22:00:53Z","status":"public","project":[{"name":"New frontiers of the Manin conjecture","grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"author":[{"first_name":"Dante","full_name":"Bonolis, Dante","last_name":"Bonolis","id":"6A459894-5FDD-11E9-AF35-BB24E6697425"},{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","full_name":"Browning, Timothy D","first_name":"Timothy D"},{"full_name":"Huang, Zhizhong","first_name":"Zhizhong","last_name":"Huang","id":"21f1b52f-2fd1-11eb-a347-a4cdb9b18a51"}],"year":"2024","OA_place":"publisher","arxiv":1,"title":"Density of rational points on some quadric bundle threefolds","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","ddc":["510"],"page":"4123-4207","day":"01","type":"journal_article","license":"https://creativecommons.org/licenses/by/4.0/","isi":1,"language":[{"iso":"eng"}],"scopus_import":"1","date_published":"2024-11-01T00:00:00Z","has_accepted_license":"1","doi":"10.1007/s00208-024-02854-4","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"citation":{"mla":"Bonolis, Dante, et al. “Density of Rational Points on Some Quadric Bundle Threefolds.” <i>Mathematische Annalen</i>, vol. 390, Springer Nature, 2024, pp. 4123–207, doi:<a href=\"https://doi.org/10.1007/s00208-024-02854-4\">10.1007/s00208-024-02854-4</a>.","ista":"Bonolis D, Browning TD, Huang Z. 2024. Density of rational points on some quadric bundle threefolds. Mathematische Annalen. 390, 4123–4207.","apa":"Bonolis, D., Browning, T. D., &#38; Huang, Z. (2024). Density of rational points on some quadric bundle threefolds. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-024-02854-4\">https://doi.org/10.1007/s00208-024-02854-4</a>","chicago":"Bonolis, Dante, Timothy D Browning, and Zhizhong Huang. “Density of Rational Points on Some Quadric Bundle Threefolds.” <i>Mathematische Annalen</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s00208-024-02854-4\">https://doi.org/10.1007/s00208-024-02854-4</a>.","ieee":"D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some quadric bundle threefolds,” <i>Mathematische Annalen</i>, vol. 390. Springer Nature, pp. 4123–4207, 2024.","short":"D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.","ama":"Bonolis D, Browning TD, Huang Z. Density of rational points on some quadric bundle threefolds. <i>Mathematische Annalen</i>. 2024;390:4123-4207. doi:<a href=\"https://doi.org/10.1007/s00208-024-02854-4\">10.1007/s00208-024-02854-4</a>"},"file_date_updated":"2025-01-09T09:08:14Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_type":"hybrid","quality_controlled":"1","file":[{"creator":"dernst","checksum":"5dd51531deb1e4760c38c3c0c7d5aedc","file_id":"18796","content_type":"application/pdf","file_size":1019116,"date_created":"2025-01-09T09:08:14Z","success":1,"relation":"main_file","access_level":"open_access","date_updated":"2025-01-09T09:08:14Z","file_name":"2024_MathAnnalen_Bonolis.pdf"}],"abstract":[{"text":"We prove the Manin–Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1, 2).","lang":"eng"}],"_id":"15337","intvolume":"       390","month":"11","article_type":"original","volume":390,"publication":"Mathematische Annalen","department":[{"_id":"TiBr"}],"date_updated":"2025-09-04T13:41:19Z","external_id":{"arxiv":["2204.09322"],"isi":["001204670500001"]},"oa":1,"corr_author":"1"},{"publication_status":"published","publisher":"Scuola Normale Superiore - Edizioni della Normale","date_created":"2023-05-07T22:01:04Z","status":"public","year":"2023","author":[{"full_name":"Bonolis, Dante","first_name":"Dante","id":"6A459894-5FDD-11E9-AF35-BB24E6697425","last_name":"Bonolis"},{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177"}],"arxiv":1,"oa_version":"Preprint","article_processing_charge":"No","title":"Uniform bounds for rational points on hyperelliptic fibrations","type":"journal_article","day":"16","page":"173-204","language":[{"iso":"eng"}],"scopus_import":"1","date_published":"2023-02-16T00:00:00Z","issue":"1","doi":"10.2422/2036-2145.202010_018","publication_identifier":{"eissn":["2036-2145"],"issn":["0391-173X"]},"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>","short":"D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.","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.","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>.","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>","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.","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>."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2007.14182"}],"quality_controlled":"1","_id":"12916","intvolume":"        24","abstract":[{"lang":"eng","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"}],"month":"02","article_type":"original","volume":24,"department":[{"_id":"TiBr"}],"publication":"Annali della Scuola Normale Superiore di Pisa - Classe di Scienze","external_id":{"arxiv":["2007.14182"]},"date_updated":"2024-10-09T21:05:05Z","oa":1,"corr_author":"1"},{"issue":"3","date_published":"2022-05-01T00:00:00Z","scopus_import":"1","language":[{"iso":"eng"}],"isi":1,"type":"journal_article","page":"563 - 590","ddc":["510"],"day":"01","oa_version":"Published Version","title":"On the size of the maximum of incomplete Kloosterman sums","article_processing_charge":"Yes (via OA deal)","arxiv":1,"year":"2022","author":[{"id":"6A459894-5FDD-11E9-AF35-BB24E6697425","last_name":"Bonolis","first_name":"Dante","full_name":"Bonolis, Dante"}],"status":"public","date_created":"2021-05-02T22:01:29Z","acknowledgement":"I am most thankful to my advisor, Emmanuel Kowalski, for suggesting this problem and for his guidance during these years. I also would like to thank Youness Lamzouri for informing me about his work on sum of incomplete Birch sums and Tal Horesh for her suggestions on a previous version of the paper. Finally, I am very grateful to the anonymous referee for their careful reading of the manuscript and their valuable comments.","publisher":"Cambridge University Press","publication_status":"published","oa":1,"external_id":{"arxiv":["1811.10563"],"isi":["000784421500001"]},"date_updated":"2023-08-02T06:47:48Z","department":[{"_id":"TiBr"}],"publication":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":172,"article_type":"original","month":"05","_id":"9364","abstract":[{"text":"Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H<p ∣ 1/√p ∑ 0≤n<H t (n) ∣ of the absolute value of the incomplete sums(1/√p)∑0≤n<H t (n). In this very general context one of the most important results is the Pólya–Vinogradov bound M(t)≤IIˆtII∞ log 3p, where ˆt : Fp → C is the normalized Fourier transform of t. In this paper we provide a lower bound for certain incomplete Kloosterman sums, namely we prove that for any ε > 0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1)) log log p, as p→∞. Finally, we prove a result on the growth of the moments of {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary); 14F20, 60F10 (Secondary).","lang":"eng"}],"intvolume":"       172","file":[{"checksum":"614d2e9b83a78100408e4ee7752a80a8","creator":"cchlebak","date_created":"2021-12-01T14:01:54Z","file_size":334064,"success":1,"content_type":"application/pdf","file_id":"10395","access_level":"open_access","date_updated":"2021-12-01T14:01:54Z","relation":"main_file","file_name":"2021_MathProcCamPhilSoc_Bonolis.pdf"}],"quality_controlled":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ama":"Bonolis D. On the size of the maximum of incomplete Kloosterman sums. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. 2022;172(3):563-590. doi:<a href=\"https://doi.org/10.1017/S030500412100030X\">10.1017/S030500412100030X</a>","short":"D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.","ieee":"D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022.","chicago":"Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/S030500412100030X\">https://doi.org/10.1017/S030500412100030X</a>.","mla":"Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:<a href=\"https://doi.org/10.1017/S030500412100030X\">10.1017/S030500412100030X</a>.","ista":"Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590.","apa":"Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/S030500412100030X\">https://doi.org/10.1017/S030500412100030X</a>"},"file_date_updated":"2021-12-01T14:01:54Z","publication_identifier":{"eissn":["1469-8064"],"issn":["0305-0041"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"doi":"10.1017/S030500412100030X","has_accepted_license":"1"},{"author":[{"first_name":"Pascal","full_name":"Autissier, Pascal","last_name":"Autissier"},{"full_name":"Bonolis, Dante","first_name":"Dante","id":"6A459894-5FDD-11E9-AF35-BB24E6697425","last_name":"Bonolis"},{"last_name":"Lamzouri","first_name":"Youness","full_name":"Lamzouri, Youness"}],"year":"2021","article_processing_charge":"No","title":"The distribution of the maximum of partial sums of Kloosterman sums and other trace functions","oa_version":"Preprint","arxiv":1,"publisher":"Cambridge University Press","publication_status":"published","acknowledgement":"We would like to thank the anonymous referees for carefully reading the paper and for their remarks and suggestions.","date_created":"2022-02-01T08:10:43Z","status":"public","date_published":"2021-06-28T00:00:00Z","issue":"7","page":"1610-1651","day":"28","type":"journal_article","scopus_import":"1","isi":1,"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1909.03266"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Autissier P, Bonolis D, Lamzouri Y. 2021. The distribution of the maximum of partial sums of Kloosterman sums and other trace functions. Compositio Mathematica. 157(7), 1610–1651.","apa":"Autissier, P., Bonolis, D., &#38; Lamzouri, Y. (2021). The distribution of the maximum of partial sums of Kloosterman sums and other trace functions. <i>Compositio Mathematica</i>. Cambridge University Press. <a href=\"https://doi.org/10.1112/s0010437x21007351\">https://doi.org/10.1112/s0010437x21007351</a>","mla":"Autissier, Pascal, et al. “The Distribution of the Maximum of Partial Sums of Kloosterman Sums and Other Trace Functions.” <i>Compositio Mathematica</i>, vol. 157, no. 7, Cambridge University Press, 2021, pp. 1610–51, doi:<a href=\"https://doi.org/10.1112/s0010437x21007351\">10.1112/s0010437x21007351</a>.","chicago":"Autissier, Pascal, Dante Bonolis, and Youness Lamzouri. “The Distribution of the Maximum of Partial Sums of Kloosterman Sums and Other Trace Functions.” <i>Compositio Mathematica</i>. Cambridge University Press, 2021. <a href=\"https://doi.org/10.1112/s0010437x21007351\">https://doi.org/10.1112/s0010437x21007351</a>.","ieee":"P. Autissier, D. Bonolis, and Y. Lamzouri, “The distribution of the maximum of partial sums of Kloosterman sums and other trace functions,” <i>Compositio Mathematica</i>, vol. 157, no. 7. Cambridge University Press, pp. 1610–1651, 2021.","short":"P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.","ama":"Autissier P, Bonolis D, Lamzouri Y. The distribution of the maximum of partial sums of Kloosterman sums and other trace functions. <i>Compositio Mathematica</i>. 2021;157(7):1610-1651. doi:<a href=\"https://doi.org/10.1112/s0010437x21007351\">10.1112/s0010437x21007351</a>"},"quality_controlled":"1","doi":"10.1112/s0010437x21007351","publication_identifier":{"issn":["0010-437X"],"eissn":["1570-5846"]},"date_updated":"2024-10-21T06:02:06Z","external_id":{"arxiv":["1909.03266"],"isi":["000667289300001"]},"corr_author":"1","oa":1,"month":"06","article_type":"original","_id":"10711","abstract":[{"text":"In this paper, we investigate the distribution of the maximum of partial sums of families of  m -periodic complex-valued functions satisfying certain conditions. We obtain precise uniform estimates for the distribution function of this maximum in a near-optimal range. Our results apply to partial sums of Kloosterman sums and other families of  ℓ -adic trace functions, and are as strong as those obtained by Bober, Goldmakher, Granville and Koukoulopoulos for character sums. In particular, we improve on the recent work of the third author for Birch sums. However, unlike character sums, we are able to construct families of  m -periodic complex-valued functions which satisfy our conditions, but for which the Pólya–Vinogradov inequality is sharp.","lang":"eng"}],"intvolume":"       157","publication":"Compositio Mathematica","department":[{"_id":"TiBr"}],"volume":157,"keyword":["Algebra and Number Theory"]}]