Resumen de Foliatons on porjective spaces associated to the affine lie algebra

Raphael Constant da Costa

• In this work we construct some irreducible components of the space of two-dimensional holomorphic foliations on P n associated to some algebraic representations of the affine Lie algebra aff(C). We give a description of the generalized Kupka components, obtaining a classification of them in terms of the degree of the foliations, in both cases n = 3 and n = 4.