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1995 | 62 | 2 | 177-191
Tytuł artykułu

Intersection theory in complex analytic geometry

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present a construction of an intersection product of arbitrary complex analytic cycles based on a pointwise defined intersection multiplicity.
Twórcy
  • Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Bibliografia
  • [AM1] R. Achilles and M. Manaresi, Multiplicities for improper intersections of analytic subsets, Rend. Sem. Mat. Univ. Pol. Torino 48 (1990), 539-552.
  • [AM2] R. Achilles and M. Manaresi, Analytic deviation of ideals and intersection theory of analytic spaces, Manuscripta Math. 80 (1993), 291-308.
  • [AM3] R. Achilles and M. Manaresi, An algebraic characterization of distinguished varieties of intersections, Rev. Roumaine Math. Pures Appl. 38 (1993), 569-578.
  • [ATW] R. Achilles, P. Tworzewski and T. Winiarski, On improper isolated intersection in complex analytic geometry, Ann. Polon. Math. 51 (1990), 21-36.
  • [AV] R. Achilles and W. Vogel, On multiplicities for improper intersections, J. Algebra 168 (1994), 123-142.
  • [Ch] E. M. Chirka, Complex Analytic Sets, Kluwer Acad. Publ., 1989.
  • [CT] E. Cygan and P. Tworzewski, Proper intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 59 (1994), 293-298.
  • [De] J. P. Demailly, Courants positifs et théorie de l'intersection, Gaz. Math. 53 (1992), 131-159.
  • [Dr] R. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204.
  • [F] W. Fulton, Intersection Theory, Springer, Berlin, 1984.
  • [G1] L. J. van Gastel, Excess intersections, Thesis, Univ. of Utrecht, The Netherlands, 1989.
  • [G2] L. J. van Gastel, Excess intersections and correspondence principle, Invent. Math. 103 (1991), 197-221.
  • [Ł1] S. Łojasiewicz, Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette, 1965.
  • [Ł2] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991.
  • [P1] A. Płoski, Une évaluation pour les sous-ensembles analytiques complexes, Bull. Polish Acad. Sci. Math. 31 (1983), 259-262.
  • [P2] A. Płoski, Multiplicity and the Łojasiewicz exponent, preprint 359, Polish Academy of Sciences, Warszawa, 1986.
  • [R] S. Rams, Convergence of holomorphic chains, preprint, 1995.
  • [S] E. Selder, Eine algebraische Definition lokaler analytischer Schnittmultiplizitäten, Rev. Roumaine Math. Pures Appl. 29 (1984), 417-432.
  • [SV] J. Stückrad and W. Vogel, An algebraic approach to the intersection theory, in: The Curves Seminar at Queen's University, Vol. II, Queen's Papers in Pure and Appl. Math. 61, Kingston, Ont., 1982, 1-32.
  • [T] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 58 (1993), 213-219.
  • [TW1] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76.
  • [TW2] P. Tworzewski and T. Winiarski, Continuity of intersection of analytic sets, Ann. Polon. Math. 42 (1983), 387-393.
  • [TW3] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101.
  • [V] W. Vogel, Results on Bezout's Theorem, Tata Lecture Notes, Bombay, Vol. 74, Springer, Berlin, 1984.
  • [Wh] H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972.
  • [W1] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178.
  • [W2] T. Winiarski, Local properties of intersections, in: Deformations of Math. Structures, Kluwer, 1989, 141-150.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-apmv62z2p177bwm
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