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Original Articles

On Holomorphic Foliations Without Algebraic Solutions

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Pages 529-536 | Published online: 04 Apr 2012

REFERENCES

  • Adams , W. W. and Loustaunau , P. 1994 . An introduction to Gröbner bases Providence , RI : Amer. Math. Soc. . [Adams and Loustaunau 1994], Graduate Studies in Math. 3
  • Bernstein , J. and Lunts , V. 1988 . “On nonholonomic irreducible D-modules” . Invent. Math. , 94 ( 2 ) : 223 – 243 . [Bernstein and Lunts 1988]
  • Cano , F. 1988 . “Dicriticalness of a singular foliation”. ” . In Holomorphic dynamics (Mexico, 1986) Edited by: Gomez-Mont , X. 73 – 94 . Berlin : Springer. . [Cano 1988], Lecture Notes in Math. 1345
  • Carnicer , M. M. 1994 . “The Poincaré problem in the nondicritical case” . Ann. of Math. (2) , 140 ( 2 ) : 289 – 294 . [Carnicer 1994]
  • Cerveau , D. and Lins Neto , A. 1991 . “Holomorphic foliations in CP(2) having an invariant algebraic curve” . Ann. Inst. Fourier (Grenoble) , 41 ( 4 ) : 883 – 903 . [Cerveau and Lins Neto 1991]
  • Darboux , G. 1878 . “Mémoire sur les équations différentielles algébriques du 1° ordre et du premier degré” . Bull, des Sci. Math. (Mélanges) , : 60 – 96 . [Darboux 1878], 123–144, 151–200
  • Greuel , G.-M. , Pfisterönemann , G. and Sch , H. 1998 . “Singular version 1.2 User Manual” Centre for Algebra, University of Kaiserslautern. . [Greuel et al. 1998], Report on Computer Algebra 21, See http://www.mathematik.uni-kl.de/~zca/Singular
  • Jouanolou , J. P. 1979 . Équations de Pfaff algébriques Berlin : Springer. . [Jouanolou 1979], Lect. Notes in Math. 708
  • Lins Neto , A. 1988 . “Algebraic solutions of polynomial differential equations and foliations in dimension two”. ” . In Holomorphic dynamics (Mexico, 1986) Edited by: Gomez-Mont , X. 192 – 232 . Berlin : Springer. . [Lins Neto 1988], Lecture Notes in Math. 1345
  • Poincaré , H. 1891 . “Sur l'integration algébrique des équations differentielles du ler ordre” . Rendiconti Circ. Mat. Palermo , 11 : 193 – 239 . [Poincaré 1891], Reprinted in his Oeuvres, t. Ill, 35–58
  • Soares , M. G. 1993 . “On algebraic sets invariant by one-dimensional foliations on CP(3)” . Ann. Inst. Fourier (Grenoble) , 43 ( 1 ) : 143 – 162 . [Soares 1993]
  • Żoł§dek , H. 1998 . “New examples of holomorphic foliations without algebraic leaves” . Studia Math. , 131 ( 2 ) : 137 – 142 . [Żoł§dek 1998]

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