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Please use this identifier to cite or link to this item: https://bura.brunel.ac.uk/handle/2438/29648
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dc.contributor.authorPaemurru, Erik-
dc.contributor.authorViswanathan, N-
dc.date.accessioned2024-09-02T17:38:24Z-
dc.date.available2024-09-02T17:38:24Z-
dc.date.issued2025-09-05-
dc.identifierORCiD: Erik Paemurru https://orcid.org/0000-0002-3734-2552-
dc.identifierORCiD: Nivedita Viswanathan https://orcid.org/0009-0007-3966-601X-
dc.identifier.citationPaemurru, 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.en_US
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/29648-
dc.descriptionA 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 It has not been certified by peer review.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/S0017089525100827en_US
dc.description.abstractWe 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.en_US
dc.description.sponsorshipThe first author was supported by the Simons Investigato rAward HMS, National Science Fund of Bulgaria, National Scientific Program“Excellent Research and People for the Development of European Science”(VIHREN),Project No. KP-06-DV-7 and this is a contribution to Project-ID 286237555–TRR195–by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation). The second author was partially supported by the Engineering and Physical Sciences Research Council (EPSRC) Grant EP/V048619/1“ Kähler-Einsteinmetrics on Fano Manifolds" and EP/V056689/1“ The Calabi Problem for smooth Fano threefolds".en_US
dc.format.extentpp. 1–14-
dc.format.mediumElectronic-
dc.language.isoenen_US
dc.publisherArXiv.orgen_US
dc.relation.urihttps://arxiv.org/abs/2311.00963-
dc.relation.urihttps://arxiv.org/pdf/2311.00963-
dc.rightsarXiv.org - Non-exclusive license to distribute-
dc.rights.urihttps://arxiv.org/licenses/nonexclusive-distrib/1.0/-
dc.subjectlog canonical thresholds-
dc.subjectplane curves-
dc.subjectsingularities.-
dc.subjectalgebraic geometry (math.AG)en_US
dc.titleLog canonical thresholds of high multiplicity reduced plane curvesen_US
dc.typePreprinten_US
dc.relation.isPartOfGlasgow Mathematical Journal-
pubs.publication-statusSubmitted-
dc.identifier.eissn2331-8422-
dc.rights.licensehttps://arxiv.org/licenses/nonexclusive-distrib/1.0/license.html-
dc.rights.holderThe Author(s)-
dc.contributor.orcidPaemurru, Erik [0000-0002-3734-2552]-
dc.contributor.orcidViswanathan, Nivedita [0009-0007-3966-601X]-
dc.identifier.numberarXiv:2311.00963v2 [math.AG]-
Appears in Collections:Department of Mathematics Research Papers

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