Foliations with a radial Kupka set on projective spaces

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• 作者：Omegar Calvo-Andrade
• 关键词：Kupka set ; ample vector bundle
• 刊名：Bulletin of the Brazilian Mathematical Society, New Series
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：47
• 期：4
• 页码：1071-1083
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Theoretical, Mathematical and Computational Physics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1678-7714
• 卷排序：47

文摘

We consider the set K(n, c, xdy − ydx) of codimension one holomorphic foliations on Pn, n ≥ 3, with normal Chern class c, and with a compact, connected Kupka set of radial transversal type. We will prove that foliations in this set, have a rational first integral and define an irreducible component of the space of foliations.