Abstract
We present new irreducible components of the space of codimension one holomorphic foliations on \(\mathbb P^{n}\), \(n\ge 3\). They are associated to pull-back by branched rational maps of foliations on \(\mathbb P^2\) that preserve invariant lines.
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To my mother.
I am deeply grateful to A. Lins Neto and D. Cerveau for the discussions, suggestions and comments. This work was developed both at IMPA (Rio de Janeiro, Brazil) and (IRMAR-Université de Rennes 1 (France)). It was supported by IMPA, CNPq (process number 142250/2005-8) and CAPES-BR (process number 9814-13-2).
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Costa e Silva, W. Stability Of Branched Pull-Back Projective Foliations. Bull Braz Math Soc, New Series 48, 29–44 (2017). https://doi.org/10.1007/s00574-016-0007-7
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DOI: https://doi.org/10.1007/s00574-016-0007-7