McKay correspondence and new Calabi-Yau threefolds
classification
🧮 math.AG
keywords
threefoldscalabi-yaucorrespondencehodgemckaynumbersactionscompute
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In this note, we consider crepant resolutions of the quotient varieties of smooth quintic threefolds by Gorenstein group actions. We compute their Hodge numbers via McKay correspondence. In this way, we find some new pairs $(h^{1,1},\;h^{2,1})$ of Hodge numbers of Calabi-Yau threefolds.
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