论文标题
全体形叶的扩展和限制
Extensions and restrictions of holomorphic foliations
论文作者
论文摘要
我们证明了基于叶面程度和高表面程度的射向性超曲面的编辑标准的扩展标准,并且在某些情况下,我们确保在相应的叶子空间之间确保同构。我们还提供了一些不满足扩展标准且不扩展的叶子的例子。
We prove an extension criterion for codimension one foliations on projective hypersurfaces based on the degree of the foliation and the degree of the hypersurface, and we ensure, in some instances, an isomorphism between the corresponding spaces of foliations. We also present some examples of foliations that do not satisfy the extension criterion and do not extend.