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Type: Artigo
Title: On the singular scheme of split foliations
Author: Correa Junior, Mauricio
Jardim, Marcos
Martins, Renato Vidal
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.
Subject: Holonomia (Folheações)
Folheações (Matemática)
Country: Estados Unidos
Editor: Indiana University/ Departament of Mathematics
Rights: Fechado
Identifier DOI: 10.1512/iumj.2015.64.5672
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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