Alpha-invariants and purely log terminal blow-ups

arxiv: 1709.05668 · v2 · pith:UQTN7X6Onew · submitted 2017-09-17 · 🧮 math.AG · math.DG

Ivan Cheltsov , Jihun Park , Constantin Shramov This is my paper

classification 🧮 math.AG math.DG

keywords terminalalphaalpha-invariantsblow-upscomponentsdifferentinvariantskawamata

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We prove that the sum of the $\alpha$-invariants of two different Koll\'ar components of a Kawamata log terminal singularity is less than $1$.

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