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http://bura.brunel.ac.uk/handle/2438/29648| Title: | Log canonical thresholds of high multiplicity reduced plane curves |
| Authors: | Paemurru, E Viswanathan, N |
| Keywords: | log canonical thresholds;plane curves;singularities. |
| Issue Date: | 2025 |
| Publisher: | Cambridge University Press |
| Citation: | Paemurru, E. and Viswanathan, N. (2025) 'Log canonical thresholds of high multiplicity reduced plane curves', Glasgow Mathematical Journal, 0 (accepted, in press), pp. 1 - [14]. |
| Abstract: | We compute log canonical thresholds of reduced plane curves of degree d at points of multiplicity d−1. As a consequence, we describe all possible values of log canonical threshold that are less than 2/(d−1) for reduced plane curves of degree d. In addition, we compute log canonical thresholds for all reduced plane curves of degree less than 6. |
| Description: | A preprint version of the article is available at arXiv:2311.00963v1 [math.AG], https://arxiv.org/abs/2311.00963 . It has not been certified by peer review. |
| URI: | https://bura.brunel.ac.uk/handle/2438/29648 |
| ISSN: | 0017-0895 |
| Other Identifiers: | ORCiD: Nivedita Viswanathan https://orcid.org/0009-0007-3966-601X arXiv:2311.00963v1 [math.AG] |
| Appears in Collections: | Dept of Mathematics Embargoed Research Papers |
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|---|---|---|---|---|
| Preprint.pdf | Copyright © 2023 The Author(s). The URI https://arxiv.org/licenses/nonexclusive-distrib/1.0/ is used to record the fact that the submitter granted the following license to arXiv.org on submission of an article: • I grant arXiv.org a perpetual, non-exclusive license to distribute this article. • I certify that I have the right to grant this license. • I understand that submissions cannot be completely removed once accepted. • I understand that arXiv.org reserves the right to reclassify or reject any submission. See: https://arxiv.org/licenses/nonexclusive-distrib/1.0/license.html | 444.93 kB | Adobe PDF | View/Open |
| FullText.pdf | Embargoed until publication | 404.64 kB | Adobe PDF | View/Open |
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