# A new division formula for complete intersections

Annales Polonici Mathematici (1991)

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

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topMikael 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

top- [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] N. Coleff et M. Herrera, Les courants résiduels associés à une forme méromorphe, Lecture Notes in Math. 633, Springer, 1978. Zbl0371.32007
- [3] L. Hörmander, An Introduction to Complex Analysis in Several Variables, North-Holland, 1990. Zbl0685.32001
- [4] M. Passare, Residues, currents, and their relation to ideals of holomorphic functions, Math. Scand. 62 (1988), 75-152. Zbl0633.32005
- [5] M. Passare, A calculus for meromorphic currents, J. Reine Angew. Math. 392 (1988), 37-56. Zbl0645.32007

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