Log canonical thresholds of high multiplicity reduced plane curves

Author:

Erik Paemurru, Nivedita Viswanathan

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-11-01 16:00:00

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.

PDF: Log canonical thresholds of high multiplicity reduced plane curves.pdf