# Weil's formulae and multiplicity

Maria Frontczak; Andrzej Miodek

Annales Polonici Mathematici (1991)

- Volume: 55, Issue: 1, page 103-108
- ISSN: 0066-2216

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topMaria Frontczak, and Andrzej Miodek. "Weil's formulae and multiplicity." Annales Polonici Mathematici 55.1 (1991): 103-108. <http://eudml.org/doc/262352>.

@article{MariaFrontczak1991,

abstract = {The integral representation for the multiplicity of an isolated zero of a holomorphic mapping $f : (ℂ^n,0) → (ℂ^n,0)$ by means of Weil’s formulae is obtained.},

author = {Maria Frontczak, Andrzej Miodek},

journal = {Annales Polonici Mathematici},

keywords = {holomorphic mapping germ; isolated singularity multiplicity; integral formula; Weil's formula},

language = {eng},

number = {1},

pages = {103-108},

title = {Weil's formulae and multiplicity},

url = {http://eudml.org/doc/262352},

volume = {55},

year = {1991},

}

TY - JOUR

AU - Maria Frontczak

AU - Andrzej Miodek

TI - Weil's formulae and multiplicity

JO - Annales Polonici Mathematici

PY - 1991

VL - 55

IS - 1

SP - 103

EP - 108

AB - The integral representation for the multiplicity of an isolated zero of a holomorphic mapping $f : (ℂ^n,0) → (ℂ^n,0)$ by means of Weil’s formulae is obtained.

LA - eng

KW - holomorphic mapping germ; isolated singularity multiplicity; integral formula; Weil's formula

UR - http://eudml.org/doc/262352

ER -

## References

top- [1] E. M. Chirka, Complex Analytic Sets, Nauka, Moscow 1985 (in Russian). Zbl0781.32011
- [2] R. Engelking, General Topology, PWN, Warszawa 1977.
- [3] H. Federer, Geometric Measure Theory, Springer, New York 1969. Zbl0176.00801
- [4] M. Frontczak, Integral representations of Cauchy type for holomorphic functions on Weil's domains, Bull. Soc. Sci. Łódź, to appear. Zbl0878.32007
- [5] M. Frontczak, A new simple proof of Weil's integral formula for canonical domains, Bull. Soc. Sci. Łódź, to appear. Zbl0878.32008
- [6] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York 1978. Zbl0408.14001
- [7] M. Hervé, Several Complex Variables, Local Theory, Oxford Univ. Press, Bombay 1963. Zbl0113.29003
- [8] S. Łojasiewicz, Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette 1965.
- [9] S. Łojasiewicz, Introduction to Complex Analytic Geometry, PWN, Warszawa 1988 (in Polish). Zbl0773.32007
- [10] B. V. Shabat, Introduction to Complex Analysis, Part II, Nauka, Moscow 1985 (in Russian). Zbl0574.30001
- [11] H. Whitney, Complex Analytic Varieties, Addison-Wesley, Reading, Mass., 1972. Zbl0265.32008

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