{"external_id":{"arxiv":["2104.14946"]},"title":"On the leading constant in the Manin-type conjecture for Campana points","date_created":"2024-05-28T13:39:26Z","publication":"Acta Arithmetica","_id":"17058","status":"public","language":[{"iso":"eng"}],"publication_status":"published","oa_version":"Preprint","type":"journal_article","abstract":[{"text":"We compare the Manin-type conjecture for Campana points recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado with an alternative prediction of Browning and Van Valckenborgh in the special case of the orbifold (P1,D), where D=1/2[0]+1/2[1]+1/2[∞]. We find that the two predicted leading constants do not agree, and we discuss whether thin sets could explain this discrepancy. Motivated by this, we provide a counterexample to the Manin-type conjecture for Campana points, by considering orbifolds corresponding to squareful values of binary quadratic forms.","lang":"eng"}],"date_updated":"2024-08-06T07:44:15Z","citation":{"apa":"Shute, A. L. (2022). On the leading constant in the Manin-type conjecture for Campana points. <i>Acta Arithmetica</i>. Institute of Mathematics. <a href=\"https://doi.org/10.4064/aa210430-1-7\">https://doi.org/10.4064/aa210430-1-7</a>","chicago":"Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.” <i>Acta Arithmetica</i>. Institute of Mathematics, 2022. <a href=\"https://doi.org/10.4064/aa210430-1-7\">https://doi.org/10.4064/aa210430-1-7</a>.","ista":"Shute AL. 2022. On the leading constant in the Manin-type conjecture for Campana points. Acta Arithmetica. 204(4), 317–346.","short":"A.L. Shute, Acta Arithmetica 204 (2022) 317–346.","ieee":"A. L. Shute, “On the leading constant in the Manin-type conjecture for Campana points,” <i>Acta Arithmetica</i>, vol. 204, no. 4. Institute of Mathematics, pp. 317–346, 2022.","mla":"Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.” <i>Acta Arithmetica</i>, vol. 204, no. 4, Institute of Mathematics, 2022, pp. 317–46, doi:<a href=\"https://doi.org/10.4064/aa210430-1-7\">10.4064/aa210430-1-7</a>.","ama":"Shute AL. On the leading constant in the Manin-type conjecture for Campana points. <i>Acta Arithmetica</i>. 2022;204(4):317-346. doi:<a href=\"https://doi.org/10.4064/aa210430-1-7\">10.4064/aa210430-1-7</a>"},"date_published":"2022-08-22T00:00:00Z","month":"08","publisher":"Institute of Mathematics","corr_author":"1","page":"317-346","intvolume":"       204","volume":204,"day":"22","article_type":"original","author":[{"first_name":"Alec L","last_name":"Shute","full_name":"Shute, Alec L","id":"440EB050-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1812-2810"}],"article_processing_charge":"No","doi":"10.4064/aa210430-1-7","related_material":{"record":[{"id":"12077","status":"public","relation":"earlier_version"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"4","quality_controlled":"1","scopus_import":"1","publication_identifier":{"issn":["0065-1036"],"eissn":["1730-6264"]},"year":"2022","department":[{"_id":"TiBr"}]}