Log canonical thresholds of high multiplicity reduced plane curves

2023/11/02 by Paemurru, Erik, Viswanathan, Nivedita
#14B05 #14E15 #14H20 #14H50 #32S25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi: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.

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