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Irreducible components of the space of foliations associated to the affine Lie algebra

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Calvo-Andrade, O. y Cerveau, D. y Giraldo Suárez, Luis y Lins Neto, A. (2004) Irreducible components of the space of foliations associated to the affine Lie algebra. Ergodic Theory and Dynamical Systems, 24 (4). pp. 987-1014. ISSN 1469-4417

URL Oficial: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=241021


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Resumen

In this paper, we give the explicit construction of certain components of the space of holomorphic foliations of codimension one, in complex projective spaces. These components are associated to some algebraic representations of the affine Lie algebra $\mathfrak{aff}(\mathbb{C})$. Some of them, the so-called exceptional or Klein–Lie components, are rigid in the sense that all generic foliations in the component are equivalent (Example 1). In particular, we obtain rigid foliations of all degrees. Some generalizations and open problems are given at the end of §1.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:21752
Depositado:11 Jun 2013 12:59
Última Modificación:12 Dic 2018 15:13

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