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• W1577196507 abstract "We prove that the tangent sheaf of a codimension one locally free distribution splits as a sum of line bundles if and only if its singular scheme is arithmetically Cohen-Macaulay. In addition, we show that a foliation by curves is given by an intersection of generically transversal holomorphic distributions of codimension one if and only if its singular scheme is arithmetically Buchsbaum. Finally, we establish that these foliations are determined by their singular schemes, and deduce that the Hilbert scheme of certain arithmetically Buchsbaum schemes of codimension $2$ is birational to a Grassmannian." @default.
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• W1577196507 date "2015-01-01" @default.
• W1577196507 modified "2023-10-15" @default.
• W1577196507 title "On the singular scheme of split foliations" @default.
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• W1577196507 doi "https://doi.org/10.1512/iumj.2015.64.5672" @default.
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