论文标题

关于非政治叶的决议

On the Resolutions of Non-Dicritical Foliations

论文作者

Carter, Philip J.

论文摘要

我们介绍了全态叶面的喷气计划,从而证明了简单的奇异性的替代表征 - $ 1 $叶子,与任何正常形式无关。这导致了在非政治情况下存在降落化的等效条件。然后,我们证明至少在细菌水平上总是存在这样的垂直化。

We introduce the jet schemes of a holomorphic foliation, and thereby prove an alternate characterisation of simple singularities of codimension-$1$ foliations, independent of any normal form. This leads to an equivalent condition for the existence of a desingularisation in the non-dicritical case. We then prove that such a desingularisation always exists, at least on the level of germs.

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