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تسجيل مستخدم جديدNormal bundles on the exceptional sets of simple small resolutions
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We study the normal bundles of the exceptional sets of isolated simple small singularities in the higher dimension when the Picard group of the exceptional set is $mathbb{Z}$ and the normal bundle of it has some good filtration. In particular, for the exceptional set is a projective space with the split normal bundle, we generalized Nakayama and Andos results to higher dimension. Moreover, we also generalize Laufers results of rationality and embedding dimension to higher dimension.
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