Article PDF
Avoid common mistakes on your manuscript.
References
Alexander, H., Linking and holomorphic hulls.J. Differential Geom., 38 (1993), 151–160.
Browder, A., Cohomology of maximal ideal spaces.Bull. Amer. Math. Soc., 67 (1961), 515–516.
Chirka, E. M.,Complex Analytic Sets. “Nauka”, Moscow, 1985 (Russian); English translation: Mathematics and its Applications (Soviet Series), 46. Kluwer, Dordrecht, 1989.
Chirka, E. M. &Henkin, G. M., Boundary properties of holomorphic functions of several complex variables, inCurrent Problems in Mathematics, 4, pp. 12–142. Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1975 (Russian).
Edigarian, A., Graphs of multifunctions.Math. Z., 250 (2005), 145–147.
Hörmander, L.,An Introduction to Complex Analysis in Several, Variables, 3rd edition. North-Holland Mathematical Library, 7. North-Holland, Amsterdam, 1990.
Josefson, B., On the equivalence between locally polar and globally polar sets for plurisubharmonic functions onC n.Ark. Mat., 16 (1978), 109–115.
Nishino, T., Sur les valeurs exceptionnelles au sens de Picard d'une fonction entière de deux variables.J. Math. Kyoto Univ., 2 (1962/63), 365–372.
—,Function Theory in Several Complex Variables. Translated from the 1996 Japanese original. Transl. Math. Monographs, 193. Amer. Math. Soc., Providence, RI, 2001.
Ohsawa, T., Analyticity of complements of complete Kähler domains.Proc. Japan Acad. Ser. A Math. Sci., 56 (1980), 484–487.
Shcherbina, N., Pluripolar multifunctions are analytic. Preprint, 2003.
Spanier, E. H.,Algebraic Topology. McGraw-Hill, New York-Toronto-London, 1966.
Tsuji, M.,Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shcherbina, N. Pluripolar graphs are holomorphic. Acta Math. 194, 203–216 (2005). https://doi.org/10.1007/BF02393221
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02393221