[{"day":"01","uri_base":"https://research-explorer.ista.ac.at","dc":{"rights":["info:eu-repo/semantics/closedAccess"],"source":["De La Bretèche R, Browning TD, Derenthal U. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 2007;40(1):1-50. doi:10.1016/j.ansens.2006.12.002"],"title":["On Manin's conjecture for a certain singular cubic surface"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ansens.2006.12.002"],"publisher":["Societe Mathematique de France"],"date":["2007"],"language":["eng"],"identifier":["https://research-explorer.ista.ac.at/record/219"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"description":["This paper contains a proof of the Manin conjecture for the singular cubic surface S ⊂ P3 that is defined by the equation x1 x22 + x2 x02 + x33 = 0. In fact if U ⊂ S is the Zariski open subset obtained by deleting the unique line from S, and H is the usual exponential height on P3 (Q), then the height zeta function ∑x ∈ U (Q) H (x)- s is analytically continued to the half-plane R e (s) > 9 / 10."],"creator":["De La Bretèche, Régis","Browning, Timothy D","Derenthal, Ulrich"]},"date_published":"2007-01-01T00:00:00Z","publication":"Annales Scientifiques de l'Ecole Normale Superieure","citation":{"chicago":"De La Bretèche, Régis, Timothy D Browning, and Ulrich Derenthal. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France, 2007. https://doi.org/10.1016/j.ansens.2006.12.002.","mla":"De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Certain Singular Cubic Surface.” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1, Societe Mathematique de France, 2007, pp. 1–50, doi:10.1016/j.ansens.2006.12.002.","short":"R. De La Bretèche, T.D. Browning, U. Derenthal, Annales Scientifiques de l’Ecole Normale Superieure 40 (2007) 1–50.","ista":"De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 40(1), 1–50.","apa":"De La Bretèche, R., Browning, T. D., & Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.1016/j.ansens.2006.12.002","ieee":"R. De La Bretèche, T. D. Browning, and U. Derenthal, “On Manin’s conjecture for a certain singular cubic surface,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1. Societe Mathematique de France, pp. 1–50, 2007."},"page":"1 - 50","abstract":[{"lang":"eng"}],"issue":"1","type":"journal_article","oa_version":"None","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"219","status":"public","intvolume":" 40","month":"01","language":[{}],"publist_id":"7693","extern":"1","creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"},"author":[{"first_name":"Régis","last_name":"De La Bretèche"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning"},{"first_name":"Ulrich","last_name":"Derenthal"}],"dini_type":"doc-type:article","date_updated":"2021-01-12T06:55:53Z","date_created":"2018-12-11T11:45:16Z","volume":40,"acknowledgement":"EPSRC grant number GR/R93155/01","publication_status":"published"}]