DOI: 10.5176/2251-1911_CMCGS26
Authors: Pamini Thangarajah
Abstract: In this paper we study possible relations between the solutions of related systems of polynomial equations called transpose systems of binary homogeneous polynomial equations. we have proved topological (in terms of the Zariski topology) properties of the set of all matrices with rank less than or equal to a certain number such that both a system and its transpose system represent the same number of projective points. we have presented our results of the investigation of transpose systems of binary homogeneous polynomial equations.This paper is a part of my PhD Thesis titled Systems of Polynomial Equations.
Keywords: polynomial equations, Zariski closed sets, binary forms, covariants, invariants
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