{"oa":1,"oa_version":"Preprint","date_created":"2020-11-08T23:01:25Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"De Gruyter","scopus_import":"1","title":"The geometric sieve for quadrics","quality_controlled":"1","status":"public","type":"journal_article","day":"01","article_processing_charge":"No","month":"01","date_updated":"2023-10-17T07:39:01Z","date_published":"2021-01-01T00:00:00Z","publication_status":"published","issue":"1","department":[{"_id":"TiBr"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2003.09593"}],"abstract":[{"text":"We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five. As one ranges over the zeros of such quadratic forms, we use the sieve to compute the density of coprime values of polynomials, and furthermore, to address a question about local solubility in families of varieties parameterised by the zeros.","lang":"eng"}],"intvolume":"        33","volume":33,"year":"2021","isi":1,"project":[{"grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","name":"New frontiers of the Manin conjecture","call_identifier":"FWF"}],"doi":"10.1515/forum-2020-0074","page":"147-165","publication":"Forum Mathematicum","author":[{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","last_name":"Browning","first_name":"Timothy D"},{"full_name":"Heath-Brown, Roger","last_name":"Heath-Brown","first_name":"Roger"}],"external_id":{"arxiv":["2003.09593"],"isi":["000604750900008"]},"publication_identifier":{"eissn":["1435-5337"],"issn":["0933-7741"]},"citation":{"ieee":"T. D. Browning and R. Heath-Brown, “The geometric sieve for quadrics,” <i>Forum Mathematicum</i>, vol. 33, no. 1. De Gruyter, pp. 147–165, 2021.","mla":"Browning, Timothy D., and Roger Heath-Brown. “The Geometric Sieve for Quadrics.” <i>Forum Mathematicum</i>, vol. 33, no. 1, De Gruyter, 2021, pp. 147–65, doi:<a href=\"https://doi.org/10.1515/forum-2020-0074\">10.1515/forum-2020-0074</a>.","short":"T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.","chicago":"Browning, Timothy D, and Roger Heath-Brown. “The Geometric Sieve for Quadrics.” <i>Forum Mathematicum</i>. De Gruyter, 2021. <a href=\"https://doi.org/10.1515/forum-2020-0074\">https://doi.org/10.1515/forum-2020-0074</a>.","apa":"Browning, T. D., &#38; Heath-Brown, R. (2021). The geometric sieve for quadrics. <i>Forum Mathematicum</i>. De Gruyter. <a href=\"https://doi.org/10.1515/forum-2020-0074\">https://doi.org/10.1515/forum-2020-0074</a>","ista":"Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum Mathematicum. 33(1), 147–165.","ama":"Browning TD, Heath-Brown R. The geometric sieve for quadrics. <i>Forum Mathematicum</i>. 2021;33(1):147-165. doi:<a href=\"https://doi.org/10.1515/forum-2020-0074\">10.1515/forum-2020-0074</a>"},"article_type":"original","language":[{"iso":"eng"}],"_id":"8742"}