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https://bura.brunel.ac.uk/handle/2438/29648| Title: | Log canonical thresholds of high multiplicity reduced plane curves |
| Authors: | Paemurru, Erik Viswanathan, N |
| Keywords: | log canonical thresholds;plane curves;singularities.;algebraic geometry (math.AG) |
| Issue Date: | 5-Sep-2025 |
| Publisher: | ArXiv.org |
| Citation: | Paemurru, E. and Viswanathan, N. (2025) 'Log canonical thresholds of high multiplicity reduced plane curves', [Version 2 September 2025]. Available at: https://doi.org/10.48550/arXiv.2311.00963. |
| 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:2311.00963v2 [math.AG] (https://arxiv.org/abs/2311.00963). It has not been certified by peer review. The work was eventually published by Cambridge University Press on 17 April 2026 as: Paemurru E. and Viswanathan N. Log canonical thresholds of high multiplicity reduced plane curves. Glasgow Mathematical Journal. Published online 2026:1-13. doi:10.1017/S0017089525100827 |
| URI: | https://bura.brunel.ac.uk/handle/2438/29648 |
| Other Identifiers: | ORCiD: Erik Paemurru https://orcid.org/0000-0002-3734-2552 ORCiD: Nivedita Viswanathan https://orcid.org/0009-0007-3966-601X |
| Appears in Collections: | Department of Mathematics Research Papers |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Preprint.pdf | Copyright © 2025 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 | 460.83 kB | Adobe PDF | View/Open |
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