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On crepant resolution of some hypersurface singularities and a criterion for UFD - MaRDI portal

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

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scientific article; zbMATH DE number 1721131
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On crepant resolution of some hypersurface singularities and a criterion for UFD
scientific article; zbMATH DE number 1721131

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    On crepant resolution of some hypersurface singularities and a criterion for UFD (English)
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    19 March 2002
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    hypersurfaces
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    weighted blow-ups
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    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.
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