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.
引用
收藏
页码：1013 / 1032
页数：20
相关论文
共 50 条
  • [31] Appellate body jurisprudence relating to trade remedies
    Steger, DP
    JOURNAL OF WORLD TRADE, 2001, 35 (05) : 799 - 823
  • [32] CONTRIBUTION OF HELMINTHOLOGY TO THE BODY OF KNOWLEDGE RELATING TO AMPHIBIANS
    BOURGAT, R
    MONITORE ZOOLOGICO ITALIANO-ITALIAN JOURNAL OF ZOOLOGY, 1981, 15 : 353 - 357
  • [33] RELATING TO OTHERS: THE CORONAVIRUS, THE IMAGINED BODY, AND ENFLESHMENT
    Bargar, Pavol
    COMMUNIO VIATORUM, 2020, 62 (01): : 46 - 66
  • [34] Normal aortic and pulmonary diameters correlates well with body length in children, but not with body weight
    Kronberg, K.
    Motz, R.
    Schumacher, M.
    Quick, P.
    Viemann, M.
    Fiedler, K.
    Wellemeyer, K.
    Grafmueller, S.
    Claus, M. S.
    EUROPEAN HEART JOURNAL, 2012, 33 : 95 - 96
  • [35] MESH GENERATION FOR SPHERICAL AND CONICAL SURFACES USING TRANSFINITE INTERPOLATION
    VARDHANI, KVR
    PRASAD, NS
    COMPUTERS & STRUCTURES, 1989, 32 (06) : 1359 - 1362
  • [36] Transfinite interpolation of surfaces with integral constraints using a design language
    Bernardini, F
    Cenciotti, G
    Paoluzzi, A
    FROM GEOMETRIC MODELING TO SHAPE MODELING, 2002, 80 : 21 - 34
  • [37] PRACTICAL 3-DIMENSIONAL MESH GENERATION USING TRANSFINITE INTERPOLATION
    ERIKSSON, LE
    SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (03): : 712 - 741
  • [38] RELATING LIVING ARRANGEMENTS TO CONCERN WITH FACIAL AND BODY MORPHOLOGY
    Tang, Chieh T.
    Anderson, Nina K.
    Giddon, Donald
    ANNALS OF BEHAVIORAL MEDICINE, 2011, 41 : S105 - S105
  • [39] Relating Body and Soul: Insights from Development and Neurobiology
    Scott, Rodney J.
    Phinney, Raymond E., Jr.
    PERSPECTIVES ON SCIENCE AND CHRISTIAN FAITH, 2012, 64 (02): : 90 - 107
  • [40] LIFTING RESULTS FOR FINITE DIMENSIONSTO THE TRANSFINITE IN SYSTEMS OFVARIETIES USING ULTRAPRODUCTS
    Ahmed, Tarek Sayed
    BULLETIN OF THE SECTION OF LOGIC, 2024, 53 (02): : 145 - 154
12345