Universidad Complutense de Madrid
E-Prints Complutense

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

Impacto

Downloads

Downloads per month over past year

Calvo-Andrade, O. and Cerveau, D. and Giraldo Suárez, Luis and 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

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




Abstract

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.


Item Type:Article
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:21752
Deposited On:11 Jun 2013 12:59
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page