Singularities of polar curves

E. Casas-Alvero

Compositio Mathematica (1993)

  • Volume: 89, Issue: 3, page 339-359
  • ISSN: 0010-437X

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Casas-Alvero, E.. "Singularities of polar curves." Compositio Mathematica 89.3 (1993): 339-359. <http://eudml.org/doc/90264>.

@article{Casas1993,
author = {Casas-Alvero, E.},
journal = {Compositio Mathematica},
keywords = {equisingularity; topological type of the polar curves of algebroid curve; infinitely near points},
language = {eng},
number = {3},
pages = {339-359},
publisher = {Kluwer Academic Publishers},
title = {Singularities of polar curves},
url = {http://eudml.org/doc/90264},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Casas-Alvero, E.
TI - Singularities of polar curves
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 89
IS - 3
SP - 339
EP - 359
LA - eng
KW - equisingularity; topological type of the polar curves of algebroid curve; infinitely near points
UR - http://eudml.org/doc/90264
ER -

References

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  1. [1] Casas-Alvero, E., On the singularities of polar curves, Manuscripta Math.43 (1983) 167-190. Zbl0526.14015MR707043
  2. [2] Casas-Alvero, E., Infinitely near imposed singularities and singularities of polar curves, Math. Ann.287 (1990), 429-454. Zbl0675.14009MR1060685
  3. [3] Goñi, J., On the behaviour of the first polar at a singular point, Coll. Math.34 (1983) 127-135. MR766994
  4. [4] Merle, M., Invariants polaires des courbes planes, Invent. Math.41 (1977) 103-111. Zbl0371.14003MR460336
  5. [5] Oka, M., Geometry of plane curves via toroidal resolution, preprint, Tokyo Inst. of Tech. (1991) 1-28. 
  6. [6] Pham, F., Deformations equisinguliéres des idèaux jacobiens des courbes planes, In: Proc of Liverpool Singularities Symposium II," Lectures Notes in Math.209, Springer Verlag, 1971, p. 218-233. Zbl0229.14006MR379893
  7. [7] Semple, J.G., Kneebone, G.T., "Algebraic Curves," Oxford University Press, London, 1959. Zbl0105.34301MR124801
  8. [8] Stark, H.M., "An Introduction to Number Theory," The M.I.T. Press, Cambridge, 1978. Zbl0442.10001MR514402
  9. [9] Zariski, O., Studies in equisingularity III, Amer. J. Math.90 (1968) 972-1006. Zbl0146.42502

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