A new division formula for complete intersections

Mikael Passare

Annales Polonici Mathematici (1991)

  • Volume: 55, Issue: 1, page 283-286
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Mikael Passare. "A new division formula for complete intersections." Annales Polonici Mathematici 55.1 (1991): 283-286. <http://eudml.org/doc/262328>.

@article{MikaelPassare1991,
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.},
author = {Mikael Passare},
journal = {Annales Polonici Mathematici},
keywords = {complete intersections; residue currents; integral representations; division formula; holomorphic mappings},
language = {eng},
number = {1},
pages = {283-286},
title = {A new division formula for complete intersections},
url = {http://eudml.org/doc/262328},
volume = {55},
year = {1991},
}

TY - JOUR
AU - Mikael Passare
TI - A new division formula for complete intersections
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 283
EP - 286
AB - 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.
LA - eng
KW - complete intersections; residue currents; integral representations; division formula; holomorphic mappings
UR - http://eudml.org/doc/262328
ER -

References

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  1. [1] B. Berndtsson and M. Passare, Integral formulas and an explicit version of the fundamental principle, J. Funct. Anal. 84 (1989), 358-372. Zbl0686.46031
  2. [2] N. Coleff et M. Herrera, Les courants résiduels associés à une forme méromorphe, Lecture Notes in Math. 633, Springer, 1978. Zbl0371.32007
  3. [3] L. Hörmander, An Introduction to Complex Analysis in Several Variables, North-Holland, 1990. Zbl0685.32001
  4. [4] M. Passare, Residues, currents, and their relation to ideals of holomorphic functions, Math. Scand. 62 (1988), 75-152. Zbl0633.32005
  5. [5] M. Passare, A calculus for meromorphic currents, J. Reine Angew. Math. 392 (1988), 37-56. Zbl0645.32007

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