On algebraic sets invariant by one-dimensional foliations on \(\mathbb{C} P(3)\) (Q1210522)
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scientific article; zbMATH DE number 179552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On algebraic sets invariant by one-dimensional foliations on \(\mathbb{C} P(3)\) |
scientific article; zbMATH DE number 179552 |
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On algebraic sets invariant by one-dimensional foliations on \(\mathbb{C} P(3)\) (English)
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13 June 1993
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We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on \(\mathbb{C} P(2)\) without algebraic solutions to the case of foliations by curves on \(\mathbb{C} P(3)\). We give an example of a foliation on \(\mathbb{C} P(3)\) with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.
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foliations by curves on \(\mathbb{C} P(3)\)
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