On Proximity and Intersection Inequalities for Foliations on Algebraic Surfaces

A. Campillo; C. Galindo; J. Garcia de la Fuente; A. J. Reguera

Cours de l'institut Fourier (1993)

  • Volume: S24, page 25-40

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Campillo, A., et al. "On Proximity and Intersection Inequalities for Foliations on Algebraic Surfaces." Cours de l'institut Fourier S24 (1993): 25-40. <http://eudml.org/doc/272590>.

@article{Campillo1993,
author = {Campillo, A., Galindo, C., Garcia de la Fuente, J., Reguera, A. J.},
journal = {Cours de l'institut Fourier},
language = {eng},
pages = {25-40},
publisher = {Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble},
title = {On Proximity and Intersection Inequalities for Foliations on Algebraic Surfaces},
url = {http://eudml.org/doc/272590},
volume = {S24},
year = {1993},
}

TY - JOUR
AU - Campillo, A.
AU - Galindo, C.
AU - Garcia de la Fuente, J.
AU - Reguera, A. J.
TI - On Proximity and Intersection Inequalities for Foliations on Algebraic Surfaces
JO - Cours de l'institut Fourier
PY - 1993
PB - Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble
VL - S24
SP - 25
EP - 40
LA - eng
UR - http://eudml.org/doc/272590
ER -

References

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  2. [2] Campillo, A. and Carnicer, M.Proximity inequalities and bounds for the degree of invariant curves by foliations in CP(2). Preprint 29. Valladolid University. (1993). Zbl0873.32030MR1407696
  3. [3] Campillo, A., Gonzalez-Sprinberg, G. and Lejeune-Jalabert, M.Amas, ideaux complets a support fini et chains toriques. C. R. Ac. Sc.Paris. (1992). Zbl0791.14001MR1186934
  4. [4] Carnicer, M.The Poincaré problem in the non-dicritical case. To appear in Annals of Maths. Zbl0821.32026
  5. [5] Casas, E.Infinitely near imposed singularities and singularities of polar curves. Math. Ann.287, 429-459. (1990). Zbl0675.14009MR1060685
  6. [6] Cerveau, D. and Lins, A.Holomorphie foliahons in CP(2) having an invariant algebraic curve. Ann. Inst. Fourier41 (4), 883-903. (1991). Zbl0734.34007MR1150571
  7. [7] Enriques, F. and Chisini, O.Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. Libro IV, Vol. II. BolognaZanichelli. (1915). Zbl0009.15904JFM46.0941.11
  8. [8] Gómez Mont, X.On foliations in surfaces tangent to an algebraic curve. (1990) 
  9. [9] Lejeune-Jalabert, M.Linear systems with near base conditions and complete ideals in dimension two. Preprint Institut Fourier. Grenoble. (1992). MR1378412
  10. [10] Lipman, J.Proximity inequalities for complete ideals in two dimesional regular local rings. Commutative Algebra Week, M. Holyoke College. Contemporary Mathematics. (1993). Zbl0814.13016MR1266187
  11. [11] Poincaré, H.Sur l'integration algebrique des équations differentielles de premier order et de premier degré (I et II). Rendicoti circolo matematico di Palermo5161-191 (1881) JFM23.0319.01
  12. Poincaré, H.Sur l'integration algebrique des équations differentielles de premier order et de premier degré (I et II). Rendicoti circolo matematico di Palermo11193-293 (1887) JFM28.0292.01
  13. [12] Seidenberg, A.Reduction of singularities of the differential equation A d y = B d x . Am. J. Math.90, 248-269. (1968). Zbl0159.33303MR220710

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