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