McKay Correspondence and New Calabi–Yau Threefolds
McKay Correspondence and New Calabi–Yau Threefolds
In this note, we consider crepant resolutions of the quotient varieties of smooth quintic three-folds by Gorenstein group actions. We compute their Hodge numbers via McKay correspondence. In this way, we find some new pairs (h1,1, h2,1) of Hodge numbers of Calabi–Yau threefolds.