Abstract
In this work we construct some irreducible components of the space of two-dimensional holomorphic foliations on $\mathbb{P}^n$ associated to some algebraic representations of the affine Lie algebra $\mathfrak{aff}(\mathbb{C})$. 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 $n=4$.
Citation
Raphael Constant da Costa. "Foliations on projective spaces associated to the affine Lie Algebra." Publ. Mat. 64 (2) 423 - 452, 2020. https://doi.org/10.5565/PUBLMAT6422003
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