Available in electronic format
Available in print format
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN: 1088-6834(e) ISSN: 0894-0347(p)
     

Holomorphic chains and the support hypothesis conjecture

Author(s): H. Alexander
Journal: J. Amer. Math. Soc. 10 (1997), 123-138.
MSC (1991): Primary 32C30, 32C25
Retrieve article in: PDF DVI PostScript
This article is available free of charge

References | Similar articles | Additional information

References:

[A1]
H. Alexander, Polynomial approximation and hulls in sets of finite linear measure in ${\Bbb C}^n$, Amer. J. Math. 93 (1971), 65- 74. MR 44:1841

[A2]
H. Alexander, Ends of varieties, Bull. Soc. math. France 120 (1992),523-547. MR 93k:32012

[ATU]
H. Alexander, B.A.Taylor and J.L. Ullman, Areas of projections of analytic sets, Invent. Math. 16 (1972), 335-341. MR 46:2078

[B]
E. Bishop, Conditions for the analyticity of certain sets, Mich. Math. J. 11 (1964), 289-304. MR 29:6057

1.
[DO]DO A. Davie and B. Øksendal, Peak interpolation for some algebras of analytic functions, Pacific. J. Math. 41 (1972), 81-87. MR 46:9394

[F]
H. Federer, Geometric Integration Theory, Springer- Verlag, New York, 1969.

[G]
T. Gamelin, Uniform Algebras, Prentice-Hall, Englewood Cliffs,1969. MR 53:14137

[H]
R. Harvey, Holomorphic Chains and Their Boundaries, Proc. Sym. Pure Math. 30 (1977), 309-382. MR 56:5929

[HL]
F.R. Harvey and H.B.Lawson,Jr., Complex analytic geometry and measure theory, Proc. Sym. Pure Math. 44 (1986), 261-274.

[HS]
R. Harvey and B. Shiffman, A characterization of holomorphic chains, Ann. Math. 99 (1974), 553-587. MR 50:7572

[K]
J. King, The currents defined by analytic varieties, Acta Math. 127 (1971), 185-220. MR 52:14359

[R]
W. Rudin, Function Theory in the Unit Ball of ${\Bbb  C}^n$, Springer-Verlag, New York, 1980. MR 82i:32002

[S]
B. Shiffman, Complete characterization of holomorphic chains of codimension one, Math. Ann. 274 (1986), 233-256. MR 87h:32022

[S2]
B. Shiffman, On the removal of singularities of analytic sets, Michigan Math. J. 15 (1968), 111-120. MR 37:464

[W]
J. Wermer, Banach Algebras and Several Complex Variables, Second Edition, Springer-Verlag, New York, 1976. MR 52:15021


Similar Articles:

Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 32C30, 32C25

Retrieve articles in all Journals with MSC (1991): 32C30, 32C25


Additional Information:

H. Alexander
Affiliation: Department of Mathematics, University of Illinois at Chicago, 851 S Morgan (M/C 249), Chicago, Illinois 60607-7045
Email: hja@uic.edu

DOI: 10.1090/S0894-0347-97-00218-X
PII: S 0894-0347(97)00218-X
Keywords: Holomorphic chains, currents of type $(k, k)$, locally rectifiable currents
Received by editor(s): July 15, 1994
Received by editor(s) in revised form: April 26, 1996
Copyright of article: Copyright 1997, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google