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arXiv · 1812.10905

Normal bundles on the exceptional sets of simple small resolutions

Rong Du·Xinyi Fang
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Abstract

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 Ando's results to higher dimension. Moreover, we also generalize Laufer's results of rationality and embedding dimension to higher dimension.

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Rong Du, Xinyi Fang. 2018-12-28. Normal bundles on the exceptional sets of simple small resolutions. https://arxiv.org/abs/1812.10905

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