Campana points of bounded height on vector group compactifications
| dc.citation.firstpage | 57 | |
| dc.citation.issueNumber | 1 | |
| dc.citation.journalTitle | Proceedings of the London Mathematical Society | |
| dc.citation.lastpage | 101 | |
| dc.citation.volumeNumber | 123 | |
| dc.contributor.author | Pieropan, Marta | |
| dc.contributor.author | Smeets, Arne | |
| dc.contributor.author | Tanimoto, Sho | |
| dc.contributor.author | Várilly-Alvarado, Anthony | |
| dc.date.accessioned | 2021-07-30T15:21:21Z | |
| dc.date.available | 2021-07-30T15:21:21Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in these sets Campana points. Earlier work of Campana and subsequently Abramovich shows that there are several reasonable competing definitions for Campana points. We use a version that delineates well different types of behavior of points as the weights on the boundary divisor vary. This prompts a Manin-type conjecture on Fano orbifolds for sets of Campana points that satisfy a klt (Kawamata log terminal) condition. By importing work of Chambert-Loir and Tschinkel to our setup, we prove a log version of Manin's conjecture for klt Campana points on equivariant compactifications of vector groups. | |
| dc.identifier.citation | Pieropan, Marta, Smeets, Arne, Tanimoto, Sho, et al.. "Campana points of bounded height on vector group compactifications." <i>Proceedings of the London Mathematical Society,</i> 123, no. 1 (2021) Wiley: 57-101. https://doi.org/10.1112/plms.12391. | |
| dc.identifier.digital | plms-12391 | |
| dc.identifier.doi | https://doi.org/10.1112/plms.12391 | |
| dc.identifier.uri | https://hdl.handle.net/1911/111047 | |
| dc.language.iso | eng | |
| dc.publisher | Wiley | |
| dc.rights | This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.title | Campana points of bounded height on vector group compactifications | |
| dc.type | Journal article | |
| dc.type.dcmi | Text | |
| dc.type.publication | publisher version |
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