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http://bura.brunel.ac.uk/handle/2438/29647Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Viswanathan, N | - |
| dc.date.accessioned | 2024-09-02T16:42:57Z | - |
| dc.date.available | 2024-09-02T16:42:57Z | - |
| dc.date.issued | 2019-10-27 | - |
| dc.identifier.citation | Viswanathan, N. (2020) 'Lowest log canonical thresholds of a reduced plane curve of degree d', European Journal of Mathematics, 2020, 6 (4), pp. 1216 - 1235. doi: 10.1007/s40879-019-00374-z. | en_US |
| dc.identifier.issn | 2199-675X | - |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/29647 | - |
| dc.description.abstract | We describe the sixth worst singularity that a plane curve of degree d⩾ 5 could have, using its log canonical threshold at the point of singularity. This is an extension of a result due to Cheltsov (J Geom Anal 27(3):2302–2338, 2017) wherein the five lowest values of log canonical thresholds of a plane curve of degree d⩾ 3 were computed. These six small log canonical thresholds, in order, are 2 / d, (2 d- 3 ) / (d- 1 ) 2, (2 d- 1 ) / (d2- d) , (2 d- 5 ) / (d2- 3 d+ 1 ) , (2 d- 3 ) / (d2- 2 d) and (2 d- 7 ) / (d2- 4 d+ 1 ). We give examples of curves with these values as their log canonical thresholds using illustrations. | en_US |
| dc.format.extent | 1216 - 1235 | - |
| dc.format.medium | Print-Electronic | - |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.rights | Copyright © The Author(s) 2019. Rights and permissions: Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | log canonical threshold | en_US |
| dc.subject | plane curves | en_US |
| dc.subject | α-invariant of Tian singularity | en_US |
| dc.title | Lowest log canonical thresholds of a reduced plane curve of degree d | en_US |
| dc.title.alternative | Lowest log canonical thresholds of a reduced plane curve of degree <i>d</i> | en_US |
| dc.type | Article | en_US |
| dc.date.dateAccepted | 2019-09-04 | - |
| dc.identifier.doi | https://doi.org/10.1007/s40879-019-00374-z | - |
| dc.relation.isPartOf | European Journal of Mathematics | - |
| pubs.issue | 4 | - |
| pubs.publication-status | Published | - |
| pubs.volume | 6 | - |
| dc.identifier.eissn | 2199-6768 | - |
| dc.rights.license | https://creativecommons.org/licenses/by/4.0/legalcode.en | - |
| dc.rights.holder | The Author(s) | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | Copyright © The Author(s) 2019. Rights and permissions: Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | 616.57 kB | Adobe PDF | View/Open |
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