# Relative tangent cone of analytic curves

Annales Polonici Mathematici (1999)

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

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topCiesielska, 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

top- [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
- [ChKT] J. Chądzyński, T. Krasiński and P. Tworzewski, On the intersection multiplicity of analytic curves in ${\u2102}^{m}$, Bull. Polish Acad. Sci. Math. 45 (1997), 163-169. Zbl0901.32009
- [C] E. Cygan, Intersection theory and separation exponent in complex analytic geometry, preprint IMUJ 1996/17, 12 pp.
- [Ł] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991. Zbl0747.32001
- [T₁] P. Tworzewski, Intersection theory in complex analytic geometry, Ann. Polon. Math. 62 (1995), 177-191. Zbl0911.32018
- [T₂] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, ibid. 58 (1993), 213-219. Zbl0784.32005
- [TW] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101. Zbl0759.32015
- [W] H. Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965), 496-549. Zbl0152.27701

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