Log canonical thresholds of high multiplicity reduced plane curves

Fuente: arXiv
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Main Authors: Paemurru, Erik, Viswanathan, Nivedita
Format: Preprint
Published: 2023
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_version_ 1866910154056794112
author Paemurru, Erik
Viswanathan, Nivedita
author_facet Paemurru, Erik
Viswanathan, Nivedita
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_00963
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Log canonical thresholds of high multiplicity reduced plane curves
Paemurru, Erik
Viswanathan, Nivedita
Algebraic Geometry
14B05, 14E15, 14H20, 14H50, 32S25
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.
title Log canonical thresholds of high multiplicity reduced plane curves
topic Algebraic Geometry
14B05, 14E15, 14H20, 14H50, 32S25
url https://arxiv.org/abs/2311.00963