On the singular scheme of split foliations
Mauricio Correa Junior, Marcos Jardim, Renato Vidal Martins
ARTIGO
Inglês
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...
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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.
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FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
2014/14743-8
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
302477/2010-1
Fechado
On the singular scheme of split foliations
Mauricio Correa Junior, Marcos Jardim, Renato Vidal Martins
On the singular scheme of split foliations
Mauricio Correa Junior, Marcos Jardim, Renato Vidal Martins
Fontes
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Indiana university mathematics journal Vol. 64, no. 5 (2015), p. 1359-1381 |