On the extendability of quadratic polynomial mappings of the plane

被引：0
|
作者：
Ligocka, Ewa
机构：
[1] 02-093 Warszawa
来源：
ANNALES POLONICI MATHEMATICI | 2009年 / 96卷 / 03期
关键词：
quadratic polynomial mapping; complexification; quasiregular mapping; harmonic polynomial; invariant triangle; simplex mapping; DYNAMICS; ENDOMORPHISMS;
D O I：
10.4064/ap96-3-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping Q of R-2 only the geometric shape of the critical set of Q determines whether the complexification of Q can be extended to an endomorphism of CP2. At the end of the paper we describe some interesting classes of quadratic polynomial mappings of R-2 and give some examples.
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页码：283 / 294
页数：12
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