Exact formulas are derived for the δ-invariant of (P2, λC_d) for all plane curves C_d of degree d ≤ 4, classified by singularity type.
Cheltsov, Worst singularities of plane curves of given degree Journal of Geometric Analysis 27 (2017), 2302-2338
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$\delta$-invariants of log Fano planes
Exact formulas are derived for the δ-invariant of (P2, λC_d) for all plane curves C_d of degree d ≤ 4, classified by singularity type.