Solving Polynomial Systems in Integers

M. E. Zelenova

Lomonosov Moscow State University

Abstract: The paper describes a method for determining integer solutions of a homogeneous polynomial system with integer coefficients which has finitely many solutions in the projective space over the field of complex numbers under the assumption that these solutions have a certain property.

Keywords: homogeneous polynomial system, integer solution, lifting algorithm.

UDC: 511.2

Received: 17.07.2014
Revised: 07.04.2015

DOI: 10.4213/mzm10545

 English version: Mathematical Notes, 2015, 98:3, 399–413

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