Relative tangent cone of analytic curves

Danuta Ciesielska

Annales Polonici Mathematici (1999)

  • Volume: 72, Issue: 2, page 191-195
  • ISSN: 0066-2216

Abstract

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The purpose of this paper is to give a characterization of the relative tangent cone of two analytic curves in ℂ m with an isolated intersection.

How to cite

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Ciesielska, Danuta. "Relative tangent cone of analytic curves." Annales Polonici Mathematici 72.2 (1999): 191-195. <http://eudml.org/doc/262689>.

@article{Ciesielska1999,
abstract = {The purpose of this paper is to give a characterization of the relative tangent cone of two analytic curves in $ℂ^m$ with an isolated intersection.},
author = {Ciesielska, Danuta},
journal = {Annales Polonici Mathematici},
keywords = {intersection multiplicity; analytic curve; tangent cone; relative tangent cone; analytic curves; tangent cones},
language = {eng},
number = {2},
pages = {191-195},
title = {Relative tangent cone of analytic curves},
url = {http://eudml.org/doc/262689},
volume = {72},
year = {1999},
}

TY - JOUR
AU - Ciesielska, Danuta
TI - Relative tangent cone of analytic curves
JO - Annales Polonici Mathematici
PY - 1999
VL - 72
IS - 2
SP - 191
EP - 195
AB - The purpose of this paper is to give a characterization of the relative tangent cone of two analytic curves in $ℂ^m$ with an isolated intersection.
LA - eng
KW - intersection multiplicity; analytic curve; tangent cone; relative tangent cone; analytic curves; tangent cones
UR - http://eudml.org/doc/262689
ER -

References

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  1. [ATW] R. Achilles, P. Tworzewski and T. Winiarski, On improper isolated intersection in complex analytic geometry, Ann. Polon. Math. 51 (1990), 21-36. Zbl0796.32006
  2. [ChKT] J. Chądzyński, T. Krasiński and P. Tworzewski, On the intersection multiplicity of analytic curves in ℂ m , Bull. Polish Acad. Sci. Math. 45 (1997), 163-169. Zbl0901.32009
  3. [C] E. Cygan, Intersection theory and separation exponent in complex analytic geometry, preprint IMUJ 1996/17, 12 pp. 
  4. [Ł] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991. Zbl0747.32001
  5. [T₁] P. Tworzewski, Intersection theory in complex analytic geometry, Ann. Polon. Math. 62 (1995), 177-191. Zbl0911.32018
  6. [T₂] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, ibid. 58 (1993), 213-219. Zbl0784.32005
  7. [TW] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101. Zbl0759.32015
  8. [W] H. Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965), 496-549. Zbl0152.27701

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