Filtrations by Complete Ideals and Applications

E. Casas Alvero

Cours de l'institut Fourier (1993)

  • Volume: S24, page 41-48

How to cite


Casas Alvero, E.. "Filtrations by Complete Ideals and Applications." Cours de l'institut Fourier S24 (1993): 41-48. <>.

author = {Casas Alvero, E.},
journal = {Cours de l'institut Fourier},
language = {eng},
pages = {41-48},
publisher = {Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble},
title = {Filtrations by Complete Ideals and Applications},
url = {},
volume = {S24},
year = {1993},

AU - Casas Alvero, E.
TI - Filtrations by Complete Ideals and Applications
JO - Cours de l'institut Fourier
PY - 1993
PB - Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble
VL - S24
SP - 41
EP - 48
LA - eng
UR -
ER -


  1. CGL Campillo, A., Gonzalez-Sprigberg, G., Lejeune-Jalabert, M., Amas, idéaux à support fini et chaînes toriques, C. R. Acad. Sc.Paris (1992). Zbl0791.14001
  2. CA1 Casas-Alvero, E., Moduli of algebroid plane curves, in "Algebraic Geometry, La RDbida 1981," Lect. Notes in Math.961, Springer-Verlag, Berlin-Londres-New York, 1983, pp. 32-83. Zbl0515.14019MR708326
  3. CA2 Casas-Alvero, E., Infinitely near imposed singularities and singularities of polar curves, Math. Ann.287 (1990), 429-454. Zbl0675.14009MR1060685
  4. CA3 Casas-Alvero, E., "Singularities of plane curves," To appear. MR1782072
  5. E-C Enriques, F., Chisini, O., "Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche,'' N. Zanichelli, Bologna, 1915. Zbl0009.15904JFM45.1356.02
  6. LEJ Lejeune-Jalabert, M., "Linear systems with infinitely near base conditions and complete ideals in dimension two," Institut Fourier, Grenoble, 1992. Zbl0948.14004
  7. LI Lipman, J., Rational singularities with applications to rational surfaces and unique factorization, Publ. IHES36 (1969), 195-279. Zbl0181.48903MR276239
  8. N Northcott, D.G., On the notion of a first neighbourhood ring with an application to the A F + B ϕ theorem, Proc. Cambridge. Phil. Soc.53 (1957), 43-56. Zbl0082.03304MR81888
  9. R Reguera, A.J., "Proximidad, cúmulos e ideales completos sobre singularidades racionales de superficie," Thesis, Universidad de Valladolid, Valladolid, Spain, 1993. 
  10. Z Zariski, O., Polynomial ideals defined by infinitely near points, Am. J. of Math.60 (1938), 151-204. Zbl0018.20101MR1507308JFM64.0079.01
  11. Z-S Zariski, O., Samuel, P., "Commutative algebra," Van Nostrand, 1960. Zbl0081.26501MR120249

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