2015•arXiv (Cornell University)Open access

On non-Kupka points of codimension one foliations on $\mathbb{P}^3$

Omegar Calvo-Andrade, Maurício Corrêa, Arturo Fernández‐Pérez

Abstract

We study the singular set of a codimension one holomorphic foliations on $\mathbb{P}^3$. We find a local normal form of a codimension two component of the singular set that is not of Kupka type. We also determined the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on $\mathbb{P}^3$.

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Key concepts: Codimension, Holomorphic function, Mathematics, Foliation (geology), Component (thermodynamics), Pure mathematics, Set (abstract data type), Combinatorics