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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Pull-back components of the space of foliations of codimension $ \geq 2$


Authors: W. Costa e Silva and A. Lins Neto
Journal: Trans. Amer. Math. Soc. 371 (2019), 949-969
MSC (2010): Primary 37F75; Secondary 32G34, 32S65
DOI: https://doi.org/10.1090/tran/7245
Published electronically: August 9, 2018
MathSciNet review: 3885167
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Abstract: We present a new list of irreducible components for the space of k-dimensional holomorphic foliations on $ \mathbb{P}^{n}$, $ n\geq 3$, $ k\ge 2$. They are associated to pull-back of dimension one foliations on $ \mathbb{P}^{n-k+1}$ by non-linear rational maps.


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Additional Information

W. Costa e Silva
Affiliation: IMPA, Est. D. Castorina, 110, 22460-320, Rio de Janeiro, RJ, Brazil
Email: wancossil@gmail.com

A. Lins Neto
Affiliation: IMPA, Est. D. Castorina, 110, 22460-320, Rio de Janeiro, RJ, Brazil
Email: alcides@impa.br

DOI: https://doi.org/10.1090/tran/7245
Keywords: Holomorphic foliations, irreducible components
Received by editor(s): August 24, 2016
Received by editor(s) in revised form: February 20, 2017, March 14, 2017, and March 28, 2017
Published electronically: August 9, 2018
Article copyright: © Copyright 2018 American Mathematical Society