@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},
year = {1994},
publisher = {Kluwer Academic Publishers},
volume = {92},
number = {3},
mrnumber = {1286130},
zbl = {0816.14012},
language = {en},
url = {https://www.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 - https://www.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. https://www.numdam.org/item/CM_1994__92_3_327_0/
[A] , "Expansion technics in Algebraic Geometry," Tata Institute of Fundamental Research, Bombay, 1977. | Zbl | MR
[An] , Die wertehalbgrupp einer ebenen irreduziblen algebroiden kurve, Math. Zeitschrift 153 (1977), 267-282. | Zbl | MR
[Ap] , Sur les branches superlineaires des courbes algébriques, C.R. Acad. Sci. Paris 222 (1945), 1198-1200. | Zbl | MR
[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. | Zbl | MR
[B-K] and , Plane Algebraic curves, Birkhäuser Verlag, Basel, 1986. | Zbl | MR
[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. | Zbl | MR
[D] , The semigroup of values of a curve singularity with several branches, Manuscripta Math. 59 (1987), 347-374. | Zbl | MR
[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. | Zbl | MR
[Ga] , The semigroup of a singular point of a curve with two equisingular branches, Manuscripta Math. 44 (1983), 51-58. | Zbl | MR
[G] , Apery basis and polar invariants of plane curve singularities, Pacific Journal of Math. 140 (1989), 85-96. | Zbl | MR
[H] , Introduction to the theory of infinitely near singular points, Memorias del Instituto Jorge Juan, Madrid, 1974. | Zbl | MR
[He] , Generators and relations of abelian semigroups and semigroup rings, Manuscripta Math. 3 (1970), 175-193. | Zbl | MR
[K-L] and , On analytic function germs of two variables, Topology 16 (1983), 299-310. | Zbl | MR
[LMW] , and , Courbes polaires et topologie des courbes plaines, Ann. Scient. ec. Norm. Sup 4e Serie, t.24 (1991), 141-169. | Zbl | MR | Numdam
[LMW2] , and , Sur le comportement des polaires associes aux germs de courbes planes, Compositio Math. 72 (1989), 87-113. | Zbl | MR | Numdam
[M] , Invariants polaires des courbes planes, Inventiones Math. 41 (1977), 103-111. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[T] , Varietés polaires I. Invariants polaires des singularités d'hypersurfaces, Inventiones Math. 40, 267-292. | Zbl | MR
[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. | Zbl | MR






