Intersection theory in complex analytic geometry

 Access to full text

 Full (PDF)

1. [AM1] R. Achilles and M. Manaresi, Multiplicities for improper intersections of analytic subsets, Rend. Sem. Mat. Univ. Pol. Torino 48 (1990), 539-552. Zbl0785.32005
2. [AM2] R. Achilles and M. Manaresi, Analytic deviation of ideals and intersection theory of analytic spaces, Manuscripta Math. 80 (1993), 291-308. Zbl0802.32017
3. [AM3] R. Achilles and M. Manaresi, An algebraic characterization of distinguished varieties of intersections, Rev. Roumaine Math. Pures Appl. 38 (1993), 569-578. Zbl0807.14003
4. [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
5. [AV] R. Achilles and W. Vogel, On multiplicities for improper intersections, J. Algebra 168 (1994), 123-142. Zbl0814.14045
6. [Ch] E. M. Chirka, Complex Analytic Sets, Kluwer Acad. Publ., 1989. Zbl0683.32002
7. [CT] E. Cygan and P. Tworzewski, Proper intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 59 (1994), 293-298. Zbl0847.32008
8. [De] J. P. Demailly, Courants positifs et théorie de l'intersection, Gaz. Math. 53 (1992), 131-159. 
9. [Dr] R. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204. Zbl0157.40502
10. [F] W. Fulton, Intersection Theory, Springer, Berlin, 1984. Zbl0541.14005
11. [G1] L. J. van Gastel, Excess intersections, Thesis, Univ. of Utrecht, The Netherlands, 1989. 
12. [G2] L. J. van Gastel, Excess intersections and correspondence principle, Invent. Math. 103 (1991), 197-221. Zbl0733.14002
13. [Ł1] S. Łojasiewicz, Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette, 1965. 
14. [Ł2] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991. 
15. [P1] A. Płoski, Une évaluation pour les sous-ensembles analytiques complexes, Bull. Polish Acad. Sci. Math. 31 (1983), 259-262. Zbl0578.32013
16. [P2] A. Płoski, Multiplicity and the Łojasiewicz exponent, preprint 359, Polish Academy of Sciences, Warszawa, 1986. 
17. [R] S. Rams, Convergence of holomorphic chains, preprint, 1995. 
18. [S] E. Selder, Eine algebraische Definition lokaler analytischer Schnittmultiplizitäten, Rev. Roumaine Math. Pures Appl. 29 (1984), 417-432. Zbl0613.32007
19. [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. 
20. [T] P. Tworzewski, Isolated intersection multiplicity and regular separation of analytic sets, Ann. Polon. Math. 58 (1993), 213-219. Zbl0784.32005
21. [TW1] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76. Zbl0497.32024
22. [TW2] P. Tworzewski and T. Winiarski, Continuity of intersection of analytic sets, Ann. Polon. Math. 42 (1983), 387-393. Zbl0576.32013
23. [TW3] P. Tworzewski and T. Winiarski, Cycles of zeroes of holomorphic mappings, Bull. Polish Acad. Sci. Math. 37 (1989), 95-101. Zbl0759.32015
24. [V] W. Vogel, Results on Bezout's Theorem, Tata Lecture Notes, Bombay, Vol. 74, Springer, Berlin, 1984. 
25. [Wh] H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972. 
26. [W1] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011
27. [W2] T. Winiarski, Local properties of intersections, in: Deformations of Math. Structures, Kluwer, 1989, 141-150. 

1. Danuta Ciesielska, Relative tangent cone of analytic curves
2. Sławomir Rams, Convergence of holomorphic chains
3. Mats Andersson, Elizabeth Wulcan, Green functions, Segre numbers, and King’s formula
4. S. Spodzieja, Multiplicity and the Łojasiewicz exponent
5. Sławomir Rams, On the intersection product of analytic cycles
6. Ewa Cygan, Intersection theory and separation exponent in complex analytic geometry