Foliatons on porjective spaces associated to the affine lie algebra

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...

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Detalles Bibliográficos
Autor: da Costa, Raphael Constant
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:225698
Acceso en línea:https://ddd.uab.cat/record/225698
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6422003
Access Level:acceso abierto
Palabra clave:Holomorphic foliations
The affine lie algebra
Generalized kupka components
Descripción
Sumario: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.