A Gorni-Zampieri Pair of a Homogeneous Polynomial Map

A Gorni-Zampieri Pair of a Homogeneous Polynomial Map

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摘要 In this paper, we improve the algorithm and rewrite the function make- Pairing for computing a Gorni-Zampieri pair of a homogeneous polynomial map. As an application, some counterexamples to PLDP （dependence problem for power lin- car maps） are obtained, including one in the lowest dimension （n = 48） in all suchcounterexamples one has found up to now. In this paper, we improve the algorithm and rewrite the function make- Pairing for computing a Gorni-Zampieri pair of a homogeneous polynomial map. As an application, some counterexamples to PLDP （dependence problem for power lin- car maps） are obtained, including one in the lowest dimension （n = 48） in all suchcounterexamples one has found up to now.

作者 Liu Da-yan Du Xian-kun

机构地区 School of Mathematics School of Mathematics

出处《Communications in Mathematical Research》 CSCD 2013年第4期320-328,共9页 数学研究通讯（英文版）

基金 The"985 Project"and"211 Project"of Jilin University the Basis Scientific Research Fund(200903286)of Ministry of Education of China the NSF(11126044,11071097)of China Shandong Postdoctoral Science Foundation(201003054),Innovation Program

关键词 Gorni-Zampieri pair homogeneous dependence problem power linear map Gorni-Zampieri pair, homogeneous dependence problem, power linear map

分类号 O174.14 [理学—基础数学]

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1Van den Essen A. Polynomial Automorphisms and the Jacobian Conjecture. Progr. Math. vol. 190. Basel-Boston-Berlin: Birkhauser, 2000.
2Bass H, Connel E, Wright D. The Jacobian conjecture: reduction of degree and formal expan?sion of the inverse. Bull. Amer. Math. Soc., 1982, 7: 287-330.
3Druzkowski L M. An effective approach to Keller's Jacobian conjecture. Math. Ann., 1983, 264: 303-313.
4Gorni G, Zampieri G. On cubic-linear polynomial mappings. Indag. Math. (N.S.), 1997, 8: 471-492.
5De Bondt M. Homogeneous Keller Maps. Ph.D. thesis. The Netherlands: Univ. of Nijmegen, 2009.
6Van den Essen A. A counterexample to Meisters' cubic-linear linearization conjecture. Indag. Math. (N.S.), 1998,9: 333-339.
7Meisters G. Polymorphisms conjugate to dilatations. In: Van den Essen A. Automorphisms of Affine Spaces. Dordrecht: Kluwer Academic Publishers, 1995.
8Olech C. On the Markus-Yamabe stability conjecture. Proc. ofthe Intern. Meeting on Ordinary Differential Equations and Their Applications. Florence: Univ. of Florence, 1995: 127-137.
9Liu D Y, Du X K, Sun X S. The linear dependence problem for power linear maps, Linear Algebra Appl., 2007, 426: 706-715.
10De Bondt M. Quasi-translations and counterexamples to the homogeneous dependence prob?lem. Proc. Amer. Math. Soc., 2006, 134: 2849-2856.

1曲克敏.对地震学“反例”的几点思考[J].地震研究,1992,15(4):426-432.
2Vladimir Sedlak.Geodetic Support for the Identification of Polynomial Break Points on the Mining Subsidence for GIS Applications[J].Journal of Geodesy and Geomatics Engineering,2016,3(2):24-36.
3董德周.关于最大平面图着色的探讨——希伍德的反例是4-色的[J].科技通报,2002,18(4):304-309. 被引量：6
4赖晓玲,张先康,郑需要.3-D structural reconstruction of Moho in the Tangshan earthquake area by using inversion of curved interface[J].Acta Seismologica Sinica(English Edition),1997,10(5):71-83.
5S. N. Bavadekar (1) , R. M. Khaladkar (1).Estimation　of　Winds　at　Different　Isobaric　Levels　Based　on　the　Observed　Winds　at　850　hPa　Level　Using　Double　Fourier　Series[J].Advances in Atmospheric Sciences,1994,11(3):327-334.
6周厚春.一个Graffiti猜想的反例[J].菏泽师专学报,1992(2):47-48.
7赵世发,周军元,程路,孟明霞,王俊.基于MICAPS系统的分县综合预报方法[J].陕西气象,2000(4):4-7.
8张瑰.局部资料下变分同化方法的稳定性研究[J].纯粹数学与应用数学,2014,30(3):221-228.
9刘桢迪,方涵先,翁利斌,马强,张建彬.基于CHAMP、GRACE和COSMIC掩星数据的全球电离层h_mF_2建模研究[J].地球物理学报,2016,59(10):3555-3565. 被引量：5
10张桂清.太阳活动区磁场与CMEs和太阳质子事件[J].地球物理学进展,1999,14(S1):43-51.

Communications in Mathematical Research

2013年第4期

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A Gorni-Zampieri Pair of a Homogeneous Polynomial Map

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