On Holomorphic Foliations Without Algebraic Solutions
Coutinho, S. C. ; Ribeiro, Bruno F. M.
Experiment. Math., Tome 10 (2001) no. 3, p. 529-536 / Harvested from Project Euclid
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We give a symbolic algorithm to check whether certain holomorphic foliations of the complex projective plane have an algebraic solution. This algorithm is then used to produce new examples of foliations without algebraic solutions.
Publié le : 2001-05-14
Classification:  Gröbner bases,  holomorphic foliation,  algebraic solution,  13P10,  34A05,  34C05,  58F18 
@article{1069855252,
     author = {Coutinho, S. C. and Ribeiro, Bruno F. M.},
     title = {On Holomorphic Foliations Without Algebraic Solutions},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 529-536},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1069855252}
}

Coutinho, S. C.; Ribeiro, Bruno F. M. On Holomorphic Foliations Without Algebraic Solutions. Experiment. Math., Tome 10 (2001) no. 3, pp.  529-536. http://gdmltest.u-ga.fr/item/1069855252/