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arXiv · 1810.01298

Foliations on projective spaces associated to the affine Lie Algebra

Raphael Constant da Costa
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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 $n=4$.

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Raphael Constant da Costa. 2018-10-01. Foliations on projective spaces associated to the affine Lie Algebra. https://arxiv.org/abs/1810.01298

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