RT Journal Article
T1 Irreducible components of the space of foliations associated to the affine Lie algebra
A1 Calvo-Andrade, O.
A1 Cerveau, D.
A1 Giraldo Suárez, Luis
A1 Lins Neto, A.
AB 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.
PB Cambridge
SN 1469-4417
YR 2004
FD 2004-08
LK https://hdl.handle.net/20.500.14352/50697
UL https://hdl.handle.net/20.500.14352/50697
DS Docta Complutense
RD 27 dic 2025