ArticleOriginal scientific text

Title

Relative tangent cone of analytic curves

Authors 1

Affiliations

  1. Mathematics Institute, Kraków Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Abstract

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

Keywords

intersection multiplicity, analytic curve, tangent cone, relative tangent cone

Bibliography

  1. [ATW] R. Achilles, P. Tworzewski and T. Winiarski, On improper isolated intersection in complex analytic geometry, Ann. Polon. Math. 51 (1990), 21-36.
  2. [ChKT] J. Chądzyński, T. Krasiński and P. Tworzewski, On the intersection multiplicity of analytic curves in m, Bull. Polish Acad. Sci. Math. 45 (1997), 163-169.
  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.
  5. [T₁] P. Tworzewski, Intersection theory in complex analytic geometry, Ann. Polon. Math. 62 (1995), 177-191.
  6. [T₂] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, ibid. 58 (1993), 213-219.
  7. [TW] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101.
  8. [W] H. Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965), 496-549.
Pages:
191-195
Main language of publication
English
Received
1999-02-18
Accepted
1999-04-29
Published
1999
Exact and natural sciences