Relating transfinite diameters using an Okounkov body

被引：0
|
作者：
Ma'u, Sione [1 ]
机构：
[1] Univ Auckland, Dept Math, Auckland 1142, New Zealand
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 5卷 / 03期
关键词：
Transfinite diameter; Okounkov body; Chebyshev transform; Affine variety; POLYNOMIAL INTERPOLATION; BODIES;
D O I：
10.1007/s40879-019-00358-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive relations between the transfinite diameter of a locally circled subset K of the complexified sphere in C3 and notions of weighted transfinite diameter of the projection of K to C2. Our method is based on connecting a Chebyshev transform of K on an Okounkov body of V to the classical Chebyshev transform of the projection of K to C-2.
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页码：1013 / 1032
页数：20
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