[{"article_type":"original","type":"journal_article","oa_version":"Published Version","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"}],"_id":"10018","title":"Integral points on singular del Pezzo surfaces","status":"public","date_created":"2021-09-15T10:06:48Z","author":[{"full_name":"Derenthal, Ulrich","first_name":"Ulrich","last_name":"Derenthal"},{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch","first_name":"Florian Alexander","full_name":"Wilsch, Florian Alexander","orcid":"0000-0001-7302-8256"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2026-10-21T11:00:50Z","supplementarymaterial":"no","project":[{"grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"New frontiers of the Manin conjecture"}],"page":"1259-1294","citation":{"ista":"Derenthal U, Wilsch FA. 2024. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 23(3), 1259–1294.","short":"U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.","ieee":"U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 23, no. 3. Cambridge University Press, pp. 1259–1294, 2024.","mla":"Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 23, no. 3, Cambridge University Press, 2024, pp. 1259–94, doi:<a href=\"https://doi.org/10.1017/S1474748022000482\">10.1017/S1474748022000482</a>.","ama":"Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. <i>Journal of the Institute of Mathematics of Jussieu</i>. 2024;23(3):1259-1294. doi:<a href=\"https://doi.org/10.1017/S1474748022000482\">10.1017/S1474748022000482</a>","apa":"Derenthal, U., &#38; Wilsch, F. A. (2024). 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, 2024. <a href=\"https://doi.org/10.1017/S1474748022000482\">https://doi.org/10.1017/S1474748022000482</a>."},"publication_identifier":{"eissn":["1475-3030 "],"issn":["1474-7480"]},"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.","publication":"Journal of the Institute of Mathematics of Jussieu","issue":"3","scopus_import":"1","language":[{"iso":"eng"}],"year":"2024","quality_controlled":"1","publication_status":"published","intvolume":"        23","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["510"],"fulldoi":"https://doi.org/10.1017/S1474748022000482","das_tickbox":"0","arxiv":1,"date_published":"2024-05-10T00:00:00Z","file_date_updated":"2024-06-03T08:33:29Z","has_accepted_license":"1","keyword":["Integral points","del Pezzo surface","universal torsor","Manin’s conjecture"],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000881319200001"],"arxiv":["2109.06778"]},"department":[{"_id":"TiBr"}],"month":"05","publisher":"Cambridge University Press","day":"10","corr_author":"1","oa":1,"volume":23,"file":[{"success":1,"date_created":"2024-06-03T08:33:29Z","checksum":"c4698ea12cfe10ef2c6c79880290c7ac","access_level":"open_access","creator":"dernst","relation":"main_file","file_id":"17102","date_updated":"2024-06-03T08:33:29Z","content_type":"application/pdf","file_name":"2024_JourMathJussieu_Derenthal.pdf","file_size":592305}],"doi":"10.1017/S1474748022000482","researchdata_availability":"no","isi":1}]