Back to Search Start Over

On the construction of holomorphic foliations without invariant subvarieties of positive dimension.

Authors :
Coutinho, S.C.
Source :
Bulletin des Sciences Mathematiques. Nov2016, Vol. 140 Issue 8, p935-952. 18p.
Publication Year :
2016

Abstract

We construct explicit examples of one dimensional foliations over P n , with no proper invariant subvarieties of positive dimension, that are defined over a pure transcendental extension of Q whose transcendence degree is linear in n and independent of the degree of the foliation. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00074497
Volume :
140
Issue :
8
Database :
Academic Search Index
Journal :
Bulletin des Sciences Mathematiques
Publication Type :
Academic Journal
Accession number :
119341400
Full Text :
https://doi.org/10.1016/j.bulsci.2016.07.001