[{"project":[{"name":"New frontiers of the Manin conjecture","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","grant_number":"P32428","call_identifier":"FWF"}],"date_updated":"2025-09-04T13:44:16Z","arxiv":1,"isi":1,"type":"journal_article","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"license":"https://creativecommons.org/licenses/by/4.0/","department":[{"_id":"TiBr"}],"article_type":"original","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_status":"published","issue":"6","day":"01","date_created":"2024-04-21T22:00:53Z","external_id":{"arxiv":["2212.11038"],"isi":["001200337400001"]},"acknowledgement":"The authors are grateful to Jayce Getz for asking questions that set this project in motion and to the anonymous referee for useful comments. T.B. was supported by a FWF grant (DOI 10.55776/P32428) and by a grant from the Institute for Advanced Study School of Mathematics. L.B.P. was partially supported by NSF DMS-2200470 and DMS-1652173, and thanks the Hausdorff Centre for Mathematics for hosting research visits.","publication_identifier":{"eissn":["1475-3030"],"issn":["1474-7480"]},"quality_controlled":"1","volume":23,"OA_place":"publisher","page":"2859-2912","oa":1,"file_date_updated":"2025-01-09T08:56:33Z","title":"Generalised quadratic forms over totally real number fields","publication":"Journal of the Institute of Mathematics of Jussieu","_id":"15338","month":"11","scopus_import":"1","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Browning, Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Lillian B.","last_name":"Pierce","full_name":"Pierce, Lillian B."},{"last_name":"Schindler","full_name":"Schindler, Damaris","first_name":"Damaris"}],"citation":{"mla":"Browning, Timothy D., et al. “Generalised Quadratic Forms over Totally Real Number Fields.” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 23, no. 6, Cambridge University Press, 2024, pp. 2859–912, doi:<a href=\"https://doi.org/10.1017/S1474748024000161\">10.1017/S1474748024000161</a>.","ieee":"T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 23, no. 6. Cambridge University Press, pp. 2859–2912, 2024.","apa":"Browning, T. D., Pierce, L. B., &#38; Schindler, D. (2024). Generalised quadratic forms over totally real number fields. <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/S1474748024000161\">https://doi.org/10.1017/S1474748024000161</a>","ama":"Browning TD, Pierce LB, Schindler D. Generalised quadratic forms over totally real number fields. <i>Journal of the Institute of Mathematics of Jussieu</i>. 2024;23(6):2859-2912. doi:<a href=\"https://doi.org/10.1017/S1474748024000161\">10.1017/S1474748024000161</a>","chicago":"Browning, Timothy D, Lillian B. Pierce, and Damaris Schindler. “Generalised Quadratic Forms over Totally Real Number Fields.” <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press, 2024. <a href=\"https://doi.org/10.1017/S1474748024000161\">https://doi.org/10.1017/S1474748024000161</a>.","ista":"Browning TD, Pierce LB, Schindler D. 2024. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. 23(6), 2859–2912.","short":"T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912."},"intvolume":"        23","language":[{"iso":"eng"}],"has_accepted_license":"1","status":"public","OA_type":"hybrid","year":"2024","date_published":"2024-11-01T00:00:00Z","oa_version":"Published Version","ddc":["510"],"corr_author":"1","doi":"10.1017/S1474748024000161","file":[{"date_updated":"2025-01-09T08:56:33Z","file_size":690974,"file_id":"18793","creator":"dernst","content_type":"application/pdf","success":1,"checksum":"b300541d581a71d92314df5ae8c4cc09","relation":"main_file","access_level":"open_access","date_created":"2025-01-09T08:56:33Z","file_name":"2024_JournInstMathJussieu_Browning.pdf"}],"abstract":[{"text":"We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy–Littlewood circle method over number fields.","lang":"eng"}],"publisher":"Cambridge University Press","article_processing_charge":"Yes (via OA deal)"},{"publisher":"Cambridge University Press","article_processing_charge":"Yes (via OA deal)","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."}],"file":[{"creator":"dernst","file_id":"17102","file_size":592305,"date_updated":"2024-06-03T08:33:29Z","file_name":"2024_JourMathJussieu_Derenthal.pdf","date_created":"2024-06-03T08:33:29Z","access_level":"open_access","relation":"main_file","checksum":"c4698ea12cfe10ef2c6c79880290c7ac","success":1,"content_type":"application/pdf"}],"oa_version":"Published Version","ddc":["510"],"doi":"10.1017/S1474748022000482","corr_author":"1","year":"2024","date_published":"2024-05-10T00:00:00Z","language":[{"iso":"eng"}],"status":"public","has_accepted_license":"1","author":[{"first_name":"Ulrich","last_name":"Derenthal","full_name":"Derenthal, Ulrich"},{"first_name":"Florian Alexander","orcid":"0000-0001-7302-8256","id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch","full_name":"Wilsch, Florian Alexander"}],"citation":{"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>.","short":"U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.","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.","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>","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>"},"intvolume":"        23","scopus_import":"1","month":"05","file_date_updated":"2024-06-03T08:33:29Z","title":"Integral points on singular del Pezzo surfaces","publication":"Journal of the Institute of Mathematics of Jussieu","_id":"10018","keyword":["Integral points","del Pezzo surface","universal torsor","Manin’s conjecture"],"volume":23,"page":"1259-1294","oa":1,"external_id":{"isi":["000881319200001"],"arxiv":["2109.06778"]},"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_identifier":{"eissn":["1475-3030 "],"issn":["1474-7480"]},"quality_controlled":"1","day":"10","date_created":"2021-09-15T10:06:48Z","department":[{"_id":"TiBr"}],"article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","issue":"3","type":"journal_article","isi":1,"arxiv":1,"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2025-04-15T07:39:01Z","project":[{"name":"New frontiers of the Manin conjecture","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","grant_number":"P32428","call_identifier":"FWF"}]}]