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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
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Additional information
References:
- [A1]
- H. Alexander, Polynomial approximation and hulls in sets of finite linear measure in
, Amer. J. Math. 93 (1971), 65- 74. MR 44:1841 - [A2]
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- [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
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- F.R. Harvey and H.B.Lawson,Jr., Complex analytic geometry and measure theory, Proc. Sym. Pure Math. 44 (1986), 261-274.
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, 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
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- B. Shiffman, On the removal of singularities of analytic sets, Michigan Math. J. 15 (1968), 111-120. MR 37:464
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- J. Wermer, Banach Algebras and Several Complex Variables, Second Edition, Springer-Verlag, New York, 1976. MR 52:15021
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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
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