{"_id":"170","page":"977-1016","month":"04","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","day":"01","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"file_date_updated":"2020-07-14T12:45:12Z","file":[{"creator":"dernst","file_name":"2019_MathAnnalen_Browning.pdf","content_type":"application/pdf","file_size":712847,"access_level":"open_access","date_updated":"2020-07-14T12:45:12Z","relation":"main_file","file_id":"6479","date_created":"2019-05-23T07:53:27Z","checksum":"4061dc2fe99bee25d9adf2d2018cf608"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2021-01-12T06:52:37Z","has_accepted_license":"1","extern":"1","abstract":[{"lang":"eng","text":"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 ."}],"oa":1,"date_created":"2018-12-11T11:44:59Z","intvolume":"       373","publisher":"Springer Nature","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"},{"first_name":"Efthymios","last_name":"Sofos","full_name":"Sofos, Efthymios"}],"external_id":{"arxiv":["1609.09057"]},"title":"Counting rational points on quartic del Pezzo surfaces with a rational conic","doi":"10.1007/s00208-018-1716-6","oa_version":"Published Version","issue":"3-4","status":"public","year":"2019","ddc":["510"],"type":"journal_article","publication":"Mathematische Annalen","volume":373,"date_published":"2019-04-01T00:00:00Z","citation":{"apa":"Browning, T. D., &#38; Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-018-1716-6\">https://doi.org/10.1007/s00208-018-1716-6</a>","ista":"Browning TD, Sofos E. 2019. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 373(3–4), 977–1016.","ama":"Browning TD, Sofos E. Counting rational points on quartic del Pezzo surfaces with a rational conic. <i>Mathematische Annalen</i>. 2019;373(3-4):977-1016. doi:<a href=\"https://doi.org/10.1007/s00208-018-1716-6\">10.1007/s00208-018-1716-6</a>","short":"T.D. Browning, E. Sofos, Mathematische Annalen 373 (2019) 977–1016.","ieee":"T. D. Browning and E. Sofos, “Counting rational points on quartic del Pezzo surfaces with a rational conic,” <i>Mathematische Annalen</i>, vol. 373, no. 3–4. Springer Nature, pp. 977–1016, 2019.","chicago":"Browning, Timothy D, and Efthymios Sofos. “Counting Rational Points on Quartic Del Pezzo Surfaces with a Rational Conic.” <i>Mathematische Annalen</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s00208-018-1716-6\">https://doi.org/10.1007/s00208-018-1716-6</a>.","mla":"Browning, Timothy D., and Efthymios Sofos. “Counting Rational Points on Quartic Del Pezzo Surfaces with a Rational Conic.” <i>Mathematische Annalen</i>, vol. 373, no. 3–4, Springer Nature, 2019, pp. 977–1016, doi:<a href=\"https://doi.org/10.1007/s00208-018-1716-6\">10.1007/s00208-018-1716-6</a>."}}