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Foliations on projective spaces associated to the affine Lie Algebra. (arXiv:1810.01298v1 [math.AG])

来源于:arXiv
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 $n=4$. 查看全文>>