A supplement to Fujino's paper: On isolated log canonical singularities with index one
classification
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fujinocanonicalindexisolatedargumentclassicalcomplexdepends
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Let $E$ be the essential part of the exceptional locus of a good resolution of an isolated, log canonical singularity of index one. We describe the dimension of the dual complex of $E$ in terms of the Hodge type of $H^{n-1}(E, O_E)$, which is one of the main results of the paper [1] of Fujino. Our proof uses only an elementary classical method, while Fujino's argument depends on the recent development in minimal model theory.
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