On removable singularities of complex analytic sets
Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 1073-1086 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The sufficiency of several conditions for the removability of singularities is proved for complex analytic sets in domains in $\mathbb{C}^n$. Bibliography: 10 titles.
Keywords: complex analytic sets, removable singularities, rational convexity.
@article{SM_2017_208_7_a6,
     author = {E. M. Chirka},
     title = {On removable singularities of complex analytic sets},
     journal = {Sbornik. Mathematics},
     pages = {1073--1086},
     year = {2017},
     volume = {208},
     number = {7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2017_208_7_a6/}
}
TY  - JOUR
AU  - E. M. Chirka
TI  - On removable singularities of complex analytic sets
JO  - Sbornik. Mathematics
PY  - 2017
SP  - 1073
EP  - 1086
VL  - 208
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/SM_2017_208_7_a6/
LA  - en
ID  - SM_2017_208_7_a6
ER  - 
%0 Journal Article
%A E. M. Chirka
%T On removable singularities of complex analytic sets
%J Sbornik. Mathematics
%D 2017
%P 1073-1086
%V 208
%N 7
%U http://geodesic.mathdoc.fr/item/SM_2017_208_7_a6/
%G en
%F SM_2017_208_7_a6
E. M. Chirka. On removable singularities of complex analytic sets. Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 1073-1086. http://geodesic.mathdoc.fr/item/SM_2017_208_7_a6/

[1] J. Garnett, Analytic capacity and measure, Lecture Notes in Math., 297, Springer-Verlag, Berlin–New York, 1972, iv+138 pp. | DOI | MR | Zbl

[2] B. Shiffman, “On the removal of singularities of analytic sets”, Michigan Math. J., 15 (1968), 111–120 | DOI | MR | Zbl

[3] E. M. Chirka, Complex analytic sets, Math. Appl. (Soviet Ser.), 46, Kluwer Acad. Publ., Dordrecht, 1989, xx+372 pp. | DOI | MR | MR | Zbl | Zbl

[4] E. L. Stout, Polynomial convexity, Progr. Math., 261, Birhäuser Boston, Inc., Boston, MA, 2007, xii+439 pp. | MR | Zbl

[5] N. Bruschlinsky, “Stetige Abbildungen und Bettische Gruppen der Dimensionszahlen 1 und 3”, Math. Ann., 109:1 (1934), 525–537 | DOI | MR | Zbl

[6] W. Hurewicz, H. Wallman, Dimension theory, Princeton Mathematical Series, 4, Princeton Univ. Press, Princeton, NJ, 1941, vii+165 pp. | MR | Zbl

[7] G. Stolzenberg, “Uniform approximation on smooth curves”, Acta Math., 115 (1966), 185–198 | DOI | MR | Zbl

[8] B. V. Shabat, Introduction to complex analysis, v. 2, Transl. Math. Monogr., 110, Amer. Math. Soc., Providence, RI, 1992, x+371 pp. | MR | MR | Zbl | Zbl

[9] E. M. Chirka, “Removable singularities of holomorphic functions”, Sb. Math., 207:9 (2016), 1335–1343 | DOI | DOI | MR | Zbl

[10] E. M. Chirka, “On the $\bar\partial$-problem with $L^2$-estimates on a Riemann surface”, Proc. Steklov Inst. Math., 290:1 (2015), 264–276 | DOI | DOI | MR | Zbl