Foliatons on porjective spaces associated to the affine lie algebra

• Autores: Raphael Constant da Costa
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 64, Nº 2, 2020, págs. 423-452
• Idioma: inglés
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• Resumen

  • 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.