On polar invariants of hypersurface singularities
Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)
- Volume: 9, Issue: 4, page 671-688
- ISSN: 0240-2963
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topMelle-Hernández, Alejandro. "On polar invariants of hypersurface singularities." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.4 (2000): 671-688. <http://eudml.org/doc/73532>.
@article{Melle2000,
author = {Melle-Hernández, Alejandro},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {isolated singularity; polar invariant; Milnor number; equisingularity},
language = {eng},
number = {4},
pages = {671-688},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On polar invariants of hypersurface singularities},
url = {http://eudml.org/doc/73532},
volume = {9},
year = {2000},
}
TY - JOUR
AU - Melle-Hernández, Alejandro
TI - On polar invariants of hypersurface singularities
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 4
SP - 671
EP - 688
LA - eng
KW - isolated singularity; polar invariant; Milnor number; equisingularity
UR - http://eudml.org/doc/73532
ER -
References
top- [1] Campillo ( A.). — Algebroid Curves in Positive Characteristic, Lecture Notes in Math., vol. 813, Springer-Verlag, Berlin-Heidelberg-New York, 1980. Zbl0451.14010MR584440
- [2] Casas-Alvero ( E.). — 'Infinitely near imposed singularities and singularities of polar curves', Math. Ann.287, 3 (1990), 429-454. Zbl0675.14009MR1060685
- [3] Casas-Alvero ( E.). — 'Base points of polar curves', Ann. Inst. Fourier (Grenoble)41, 1 (1991), 1-10. Zbl0707.14024MR1112188
- [4] Chang ( S.H.) AND Lu ( Y.C.). — 'On C0-sufficiency of complex jets', Can. J. Math.25 (1973), 874-880. Zbl0258.58004MR343310
- [5] Delgado De La Mata ( F.). — 'A factorization theorem for the polar of a curve with two branches', Compositio Math.92, 3 (1994), 327-375. Zbl0816.14012MR1286130
- [6] García Barroso ( E.). — 'Sur les courbes polaires d'une courbe plane réduite', Proc. London Math. Soc. (3)81 (2000), no. 1, 1-28. Zbl1041.14008MR1756330
- [7] Greuel ( G.M.). — 'Constant Milnor number implies constant multiplicity for quasihomogeneous singularities', Manuscripta Math.56 (1986), no. 2, 159-166. Zbl0594.32021MR850367
- [8] Henry ( J.P.) AND Merle ( M.). - 'Sections planes, limites d'espaces tangents et transversalité de variétés polaires', C.R. Acad. Sc.Paris t. 291 Serie A, (1980), 291-294. Zbl0472.32005MR591753
- [9] Hermann ( M.), Ikeda ( S.) AND Orbanz ( U.). - Equimultiplicity and Blowing up, Springer-Verlag, Berlin-Heidelberg-New York, 1988. Zbl0649.13011MR954831
- [10] Kaup ( L.) AND Kaup ( B.). — Holomorphic Functions of Variables, Gruyter Studies in Math.3, De Gruyter, Berlin, 1983 Zbl0528.32001MR716497
- [11] Lê ( D.T.). — 'Une application d'un théorème d'A'Campo à l'équisingularité', Indag. Math., 35, 5 (1973), 403-409. Zbl0271.14001
- [12] Lê ( D.T.), Michel ( F.) AND ( Weber ( C.). — 'Sur le comportement des polaires associées aux germes de courbes planes', Compositio Math., 72 (1989), 87-113. Zbl0705.32021MR1026330
- [13] Lê ( D.T.) AND Teissier ( B.). - 'Sur la géométrie des surfaces complexes I. tangentes exceptionnelles', Amer. J. Math.101 (1979), 420-452. Zbl0427.32012MR528000
- [14] Looijenga ( E.J.N.). — Isolated singular points on complete intersections. London Math. Soc. Lecture Note Series, 77. Camb. Univ. Press, Cambridge-New York, 1984. Zbl0552.14002MR747303
- [15] Luengo ( I.). — 'The μ-stratum is not smooth', Invent. Math.90 (1987), 139-152. Zbl0627.32018MR906582
- [16] Luengo ( I.) AND Melle Hernández ( A.). — 'Une formule pour le nombre de Milnor', C.R. Acad. Sc. Paris t. 321, Série I (1995), 1473-1478. Zbl0848.32029
- [17] Melle Hernández ( A.). — 'Milnor numbers for surface singularities', Israel J. Math.115 (2000) 29-50. Zbl0956.32027MR1749672
- [18] O'Shea ( D.). - 'Topologically trivial deformations of isolated quasihomogeneous hypersurface singularities are equimultiple',Proc. Amer. Math. Soc.101 (1987), no. 2, 260-262. Zbl0628.32029MR902538
- [19] Merle ( M.). - 'Invariants polaires des courbes planes', Invent. Math.41 (1977), 103-111. Zbl0371.14003MR460336
- [20] Teissier ( B.). — 'Cycles Evanescents, Sections Planes et Conditions de Whitney'. Singularités a Cargase1972,Asterisque7-8, (1973), 363-391 Zbl0295.14003MR374482
- [21] Teissier ( B.). — 'Variétés polaires I: invariants polaires des singularités d'hypersurfaces', Invent. Math.40 (1977), 267-292. Zbl0446.32002MR470246
- [22] Teissier ( B.). — 'Polyèdre de Newton jacobien et équisingularité', Seminar on Singularities (Paris, 1976/1977), Publ. Math. Univ. Paris VII, 7, Univ. Paris VII, Paris, (1980) 193-221. MR683624
- [23] Teissier ( B.). — 'A bouquet of bouquets for a birthday', Topological methods in modern mathematics (Stony Brook, NY, 1991), Publish or Perish, Houston, TX, (1993) 93-122. Zbl0802.32029MR1215961
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