Ir al contenido

Documat


Filtrations by complete ideals and applications

  • Autores: Eduardo Casas Alvero Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 2-3, 1998, págs. 265-272
  • Idioma: inglés
  • Enlaces
  • Resumen
    • Infinitely near base points and Enriques’ unloading procedure are used to construct filtrations by complete ideals of $\mathbb{C}\{x, y\}$. It follows a procedure for getting generators of the integral closure of an ideal.

  • Referencias bibliográficas
    • A. Campillo, G. González-Sprinberg and M. Lejeune-Jalabert, Clusters of infinitely near points, Math. Ann. 306(1) (1996), 169–194.
    • E. Casas-Alvero, Moduli of algebroid plane curves, in “Algebraic Geometry, La Rábida 1981”, Lect. Notes in Math. 961, Springer Verlag, Berlin-Londres-New...
    • E. Casas-Alvero, Infinitely near imposed singularities and singularities of polar curves, Math. Ann. 287 (1990), 429–454.
    • E. Casas-Alvero, Singularities of plane curves, to appear.
    • D. Cutkosky, Factorization of complete ideals, J. Algebra 115 (1988), 144–149.
    • D. Cutkosky, On unique and almost unique factorization of complete ideals, Amer. J. Math. 111 (1989), 417–433.
    • F. Enriques and O. Chisini, Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche, N. Zanichelli, Bologna, 1915.
    • M. Lejeune-Jalabert, Linear systems with infinitely near base conditions and complete ideals in dimension two, Institut Fourier, Grenoble,...
    • J. Lipman, Rational singularities with applications to rational surfaces and unique factorization, Inst. Hautes Études Sci. Publ. Math. 36...
    • D.G. Northcott, On the notion of a first neighborhood ring with an application to the $AF + B\varphi$ theorem, Proc. Camb. Philos. Soc....
    • A. J. Reguera, Proximidad, cúmulos e ideales completos sobre singularidades racionales de superficie, Thesis, Universidad de Valladolid, Valladolid,...
    • O. Zariski, Polynomial ideals defined by infinitely near points, Amer. J. Math. 60 (1938), 151–204.
    • O. Zariski and P. Samuel, Commutative algebra, Van Nostrand, 1960.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno