@article{CM_1994__92_3_327_0, author = {Delgado de la Mata, F\'elix}, title = {A factorization theorem for the polar of a curve with two branches}, journal = {Compositio Mathematica}, pages = {327--375}, publisher = {Kluwer Academic Publishers}, volume = {92}, number = {3}, year = {1994}, mrnumber = {1286130}, zbl = {0816.14012}, language = {en}, url = {http://archive.numdam.org/item/CM_1994__92_3_327_0/} }
TY - JOUR AU - Delgado de la Mata, Félix TI - A factorization theorem for the polar of a curve with two branches JO - Compositio Mathematica PY - 1994 SP - 327 EP - 375 VL - 92 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1994__92_3_327_0/ LA - en ID - CM_1994__92_3_327_0 ER -
Delgado de la Mata, Félix. A factorization theorem for the polar of a curve with two branches. Compositio Mathematica, Tome 92 (1994) no. 3, pp. 327-375. http://archive.numdam.org/item/CM_1994__92_3_327_0/
[A] Expansion technics in Algebraic Geometry," Tata Institute of Fundamental Research, Bombay, 1977. | MR | Zbl
, "[An] Die wertehalbgrupp einer ebenen irreduziblen algebroiden kurve, Math. Zeitschrift 153 (1977), 267-282. | MR | Zbl
,[Ap] Sur les branches superlineaires des courbes algébriques, C.R. Acad. Sci. Paris 222 (1945), 1198-1200. | MR | Zbl
,[Az] The jacobian ideal of a plane algebroid curve, Thesis, Purdue University (1967).
,[B] Semigroups of two irreducible algebroid curves, Manuscripta Math. 49 (1985), 207-241. | MR | Zbl
,[B-K] Plane Algebraic curves, Birkhäuser Verlag, Basel, 1986. | MR | Zbl
and ,[C] Algebroid curves in positive characteristic, Lecture Notes in Math. 813, Springer Verlag, Heidelberg, Berlin, New York. | Zbl
,[Ca] Infinitely near imposed singularities and singularities of polar curves, Math. Annalen 287 (1990), 429-454. | MR | Zbl
,[D] The semigroup of values of a curve singularity with several branches, Manuscripta Math. 59 (1987), 347-374. | MR | Zbl
,[D2] Arithmetical factorizations of critical point sets for some map germs of C2, Preprint, Valladolid University (1991/92). | MR
,[E] Special polars and curves with one place at infinity, Proceedings of Simposia in Pure Math. 40 (1983), 353-359. | MR | Zbl
,[Ga] The semigroup of a singular point of a curve with two equisingular branches, Manuscripta Math. 44 (1983), 51-58. | MR | Zbl
,[G] Apery basis and polar invariants of plane curve singularities, Pacific Journal of Math. 140 (1989), 85-96. | MR | Zbl
,[H] Introduction to the theory of infinitely near singular points, Memorias del Instituto Jorge Juan, Madrid, 1974. | MR | Zbl
,[He] Generators and relations of abelian semigroups and semigroup rings, Manuscripta Math. 3 (1970), 175-193. | MR | Zbl
,[K-L] On analytic function germs of two variables, Topology 16 (1983), 299-310. | MR | Zbl
and ,[LMW] Courbes polaires et topologie des courbes plaines, Ann. Scient. ec. Norm. Sup 4e Serie, t.24 (1991), 141-169. | Numdam | MR | Zbl
, and ,[LMW2] Sur le comportement des polaires associes aux germs de courbes planes, Compositio Math. 72 (1989), 87-113. | Numdam | MR | Zbl
, and ,[M] Invariants polaires des courbes planes, Inventiones Math. 41 (1977), 103-111. | MR | Zbl
,[P] Courbes planes ayant une seule place à l'infini, Publications du Centre de Mathematiques de l'Ecole Polytechnique (1977-78), Palaiseau.
,[P1] Remarque sus la multiplicité d'intersection des branches planes, Bull. of the Polish Academy of Sciences 33 (1985), 601-605. | MR | Zbl
,[SZ] Polar curves, resolution of singularities and the filtered Mixed Hodge Structure on the vanishing cohomology, in "Singularities. Representation of Algebras and Vector Bundles," Lecture Notes in Math. 1273, Springer-Verlag, Heidelberg, Berlin, New York, 1989, pp. 178-202. | MR | Zbl
, ,[T] Varietés polaires I. Invariants polaires des singularités d'hypersurfaces, Inventiones Math. 40, 267-292. | MR | Zbl
,[Z] Studies in Equisingularity I, II and III, Amer. J. of Math.; I, 87 (1965), 507-536; II, 87 (1965), 972-1006; III, 90 (1968), 961-1023. | Zbl
,[Z2] General theory of saturation and of saturated rings. II Saturated local rings of dimension 1, Amer. J. of Math. 93 (1971), 872-964. | MR | Zbl
,