A Gorni-Zampieri Pair of a Homogeneous Polynomial Map

A Gorni-Zampieri Pair of a Homogeneous Polynomial Map

Year:    2013

Author:    Dayan Liu

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 320–328

Abstract

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 linear maps) are obtained, including one in the lowest dimension ($n = 48$) in all such counterexamples one has found up to now.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-18997

Communications in Mathematical Research , Vol. 29 (2013), Iss. 4 : pp. 320–328

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Gorni-Zampieri pair homogeneous dependence problem power linear map.

Author Details

Dayan Liu