{"day":"10","type":"journal_article","date_updated":"2023-08-02T06:55:10Z","article_processing_charge":"Yes (via OA deal)","month":"11","publication_status":"epub_ahead","date_published":"2022-11-10T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1017/S1474748022000482"}],"abstract":[{"lang":"eng","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."}],"department":[{"_id":"TiBr"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_created":"2021-09-15T10:06:48Z","oa_version":"Published Version","oa":1,"scopus_import":"1","publisher":"Cambridge University Press","status":"public","quality_controlled":"1","title":"Integral points on singular del Pezzo surfaces","author":[{"full_name":"Derenthal, Ulrich","first_name":"Ulrich","last_name":"Derenthal"},{"orcid":"0000-0001-7302-8256","last_name":"Wilsch","first_name":"Florian Alexander","full_name":"Wilsch, Florian Alexander","id":"560601DA-8D36-11E9-A136-7AC1E5697425"}],"publication":"Journal of the Institute of Mathematics of Jussieu","doi":"10.1017/S1474748022000482","publication_identifier":{"eissn":["1475-3030 "],"issn":["1474-7480"]},"external_id":{"arxiv":["2109.06778"],"isi":["000881319200001"]},"citation":{"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.","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>.","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>","ista":"Derenthal U, Wilsch FA. 2022. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu.","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>","short":"U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022)."},"article_type":"original","_id":"10018","language":[{"iso":"eng"}],"year":"2022","keyword":["Integral points","del Pezzo surface","universal torsor","Manin’s conjecture"],"isi":1,"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.","project":[{"grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","name":"New frontiers of the Manin conjecture","call_identifier":"FWF"}]}