Proper holomorphic disks in the complement of varieties in C2

被引：0
|
作者：
Borell, Stefan [1 ]
Kutzschebauch, Frank [1 ]
Wold, Erlend Fornaess [1 ]
机构：
[1] Univ Bern, Math Inst, CH-3012 Bern, Switzerland
来源：
MATHEMATICAL RESEARCH LETTERS | 2008年 / 15卷 / 04期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for any complete pluripolar set X subset of C-2 (in particular for any analytic subset) there exists a proper holomorphic embedding phi: Delta -> C-2 of the open unit disk Delta subset of C such that phi(Delta) boolean AND X = circle divide. It follows that the same holds true in C-n for any n > 1.
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页码：821 / 826
页数：6
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