A new division formula for complete intersections

• Autorzy: Mikael Passare
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

complete intersections; residue currents; integral representations

Kategorie tematyczne

• 32A25: Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)
• 32A27: Local theory of residues

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 283-286

Daty

wydano

1991

otrzymano

1990-05-15

Twórcy

autor

Mikael Passare

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

Bibliografia

• [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.