{"type":"journal_article","date_published":"2022-11-10T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1017/S1474748022000482"}],"isi":1,"oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["1474-7480"],"eissn":["1475-3030 "]},"title":"Integral points on singular del Pezzo surfaces","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"11","keyword":["Integral points","del Pezzo surface","universal torsor","Manin’s conjecture"],"project":[{"name":"New frontiers of the Manin conjecture","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P32428"}],"status":"public","citation":{"apa":"Derenthal, U., &#38; Wilsch, F. A. (2022). Integral points on singular del Pezzo surfaces. <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/S1474748022000482\">https://doi.org/10.1017/S1474748022000482</a>","chicago":"Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/S1474748022000482\">https://doi.org/10.1017/S1474748022000482</a>.","short":"U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022).","ama":"Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. <i>Journal of the Institute of Mathematics of Jussieu</i>. 2022. doi:<a href=\"https://doi.org/10.1017/S1474748022000482\">10.1017/S1474748022000482</a>","mla":"Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/S1474748022000482\">10.1017/S1474748022000482</a>.","ieee":"U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press, 2022.","ista":"Derenthal U, Wilsch FA. 2022. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu."},"external_id":{"arxiv":["2109.06778"],"isi":["000881319200001"]},"publication":"Journal of the Institute of Mathematics of Jussieu","date_created":"2021-09-15T10:06:48Z","publication_status":"epub_ahead","year":"2022","quality_controlled":"1","article_type":"original","oa":1,"day":"10","date_updated":"2023-08-02T06:55:10Z","language":[{"iso":"eng"}],"abstract":[{"text":"In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.","lang":"eng"}],"acknowledgement":"The first author was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.","_id":"10018","doi":"10.1017/S1474748022000482","department":[{"_id":"TiBr"}],"author":[{"last_name":"Derenthal","first_name":"Ulrich","full_name":"Derenthal, Ulrich"},{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","first_name":"Florian Alexander","full_name":"Wilsch, Florian Alexander","orcid":"0000-0001-7302-8256","last_name":"Wilsch"}],"publisher":"Cambridge University Press","scopus_import":"1"}