{"page":"6780-6808","oa_version":"Preprint","isi":1,"publisher":"Oxford Academic","abstract":[{"text":"We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of P3 outside certain planes using universal torsors.","lang":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["1901.08503"],"isi":["000773116000001"]},"oa":1,"date_updated":"2023-08-01T12:23:55Z","day":"01","language":[{"iso":"eng"}],"year":"2023","main_file_link":[{"url":"https://arxiv.org/abs/1901.08503","open_access":"1"}],"publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"article_type":"original","intvolume":"      2023","doi":"10.1093/imrn/rnac048","publication":"International Mathematics Research Notices","title":"Integral points of bounded height on a log Fano threefold","date_published":"2023-04-01T00:00:00Z","date_created":"2021-01-22T09:31:09Z","acknowledgement":"This work was supported by the German Academic Exchange Service. Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute for its hospitality, as well as the anonymous referee for several useful remarks and suggestions for improvements.","month":"04","author":[{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch","first_name":"Florian Alexander","orcid":"0000-0001-7302-8256","full_name":"Wilsch, Florian Alexander"}],"citation":{"short":"F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.","apa":"Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold. <i>International Mathematics Research Notices</i>. Oxford Academic. <a href=\"https://doi.org/10.1093/imrn/rnac048\">https://doi.org/10.1093/imrn/rnac048</a>","mla":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 8, Oxford Academic, 2023, pp. 6780–808, doi:<a href=\"https://doi.org/10.1093/imrn/rnac048\">10.1093/imrn/rnac048</a>.","ista":"Wilsch FA. 2023. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023(8), 6780–6808.","ieee":"F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 8. Oxford Academic, pp. 6780–6808, 2023.","ama":"Wilsch FA. Integral points of bounded height on a log Fano threefold. <i>International Mathematics Research Notices</i>. 2023;2023(8):6780-6808. doi:<a href=\"https://doi.org/10.1093/imrn/rnac048\">10.1093/imrn/rnac048</a>","chicago":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” <i>International Mathematics Research Notices</i>. Oxford Academic, 2023. <a href=\"https://doi.org/10.1093/imrn/rnac048\">https://doi.org/10.1093/imrn/rnac048</a>."},"status":"public","_id":"9034","quality_controlled":"1","publication_status":"published","volume":2023,"department":[{"_id":"TiBr"}],"issue":"8","type":"journal_article","article_processing_charge":"No"}