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ArticleOriginal scientific text

Title

A new division formula for complete intersections

Authors 1

Affiliations

  1. Matematiska Institutionen, Stockholms Universitet, Box 6701, S-113 85 Stockholm, Sweden

Abstract

We provide a new division formula for holomorphic mappings. It is given in terms of residue currents and has the advantage of being more explicit and simpler to prove than the previously known formulas.

Keywords

ENG
complete intersections, residue currents, integral representations

Bibliography

  1. B. Berndtsson and M. Passare, Integral formulas and an explicit version of the fundamental principle, J. Funct. Anal. 84 (1989), 358-372.
  2. N. Coleff et M. Herrera, Les courants résiduels associés à une forme méromorphe, Lecture Notes in Math. 633, Springer, 1978.
  3. L. Hörmander, An Introduction to Complex Analysis in Several Variables, North-Holland, 1990.
  4. M. Passare, Residues, currents, and their relation to ideals of holomorphic functions, Math. Scand. 62 (1988), 75-152.
  5. M. Passare, A calculus for meromorphic currents, J. Reine Angew. Math. 392 (1988), 37-56.
Annales Polonici Mathematici
1991/55/1
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Pages:
283-286
Main language of publication
English
Received
1990-05-15
Published
1991
Exact and natural sciences