Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/243237
Type: Artigo de periódico
Title: On The Singular Scheme Of Split Foliations
Author: Correa
Mauricio
Jr.; 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: Holomorphic Foliations
Buchsbaum Subvarieties
Irreducible Components
Space
Codimension-2
Sheaves
Bundles
P-3
Pn
Country: BLOOMINGTON
Editor: INDIANA UNIV MATH JOURNAL
Citation: On The Singular Scheme Of Split Foliations. Indiana Univ Math Journal, v. 64, p. 1359-1381 2015.
Rights: aberto
Identifier DOI: 
Address: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=5672&year=2015&volume=64
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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