On crepant resolution of some hypersurface singularities and a criterion for UFD (Q2781388)

Let \(X\) be a normal Gorenstein complex variety, a resolution of singularities \(\pi : Y \to X\) is said projective crepant if \(Y\) is projective and \(\omega_{Y}=\pi^*\omega_{X}\), where \(\omega_{X}\) denotes the canonical sheaf of \(X\). In this paper the author gives several examples of hypersurfaces having projective crepant resolutions. The proofs are direct using weighted blow-ups.