2019/10/03 by Judith Brinkschulte, Brinkschulte, Judith
Mathematics · #32V30 #32V40 #37F75 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AG #math.CV #math.DG #math.DS #msc:32V30 #msc:32V40 #msc:37F75
paper · pdf · doi:10.48550/arxiv.1910.01930
to be published in Ann. Sc. Norm. Sup. Pisa. arXiv admin note: text overlap with arXiv:1804.06884
arxiv created 2021/07/06 · arxiv updated 2021/07/07
We study holomorphic foliations of codimension k≥ 1 on a complex manifold X of dimension n+k from the point of view of the exceptional minimal set conjecture. For n≥ 2 we show in particular that if the holomorphic normal bundle NF is Griffiths positive, then the foliation does not admit a compact invariant set that is a complete intersection of k smooth real hypersurfaces in X.