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arXiv · 2311.00963

Log canonical thresholds of high multiplicity reduced plane curves

Erik Paemurru·Nivedita Viswanathan
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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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Erik Paemurru, Nivedita Viswanathan. 2023-11-02. Log canonical thresholds of high multiplicity reduced plane curves. https://doi.org/10.1017/s0017089525100827

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