Geodesic
Uniform Volume Estimates for Holomorphic Families of Analytic Sets
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 52-56 
K. Diederich; S. Pinchuk. Uniform Volume Estimates for Holomorphic Families of Analytic Sets. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 52-56. http://geodesic.mathdoc.fr/item/TM_2001_235_a2/
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     author = {K. Diederich and S. Pinchuk},
     title = {Uniform {Volume} {Estimates} for {Holomorphic} {Families} of {Analytic} {Sets}},
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     volume = {235},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2001_235_a2/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We prove uniform volume estimates for families of analytic sets which depend holomorphically on parameters.

[1] Bierstone E., Milman P. D., “Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant”, Invent. Math., 128 (1997), 207–302 | DOI | MR | Zbl

[2] Bishop E., “Condition for the analyticity of certain sets”, Michigan Math. J., 11 (1964), 289–304 | DOI | MR | Zbl

[3] Chirka E. M., Complex analytic sets, Kluwer Acad. Publ., Dordrecht, 1990 | MR

[4] Frisch J., “Points de platitude d'un morphisme d'espaces analytiques complexes”, Invent. Math., 4 (1967), 118–138 | DOI | MR | Zbl

[5] Siu Y. T., “Noetherianness of rings of holomorphic functions on Stein compact subsets”, Proc. Amer. Math. Soc., 21 (1969), 483–489 | DOI | MR | Zbl

[6] Stolzenberg G., “A hull with no analytic structure”, J. Math. and Mech., 12 (1963), 103–111 | MR | Zbl

[7] Wermer J., “Polynomially convex hulls and analyticity”, Ark. Mat., 20 (1982), 129–135 | DOI | MR | Zbl