On Systems of Algebraic Equations with Parametric Exponents

摘要

We deal with systems of algebraic equations with parametric exponents. As the first step for solving such systems, we consider the most simple cases, univariate case and 0-dimensional case, and give a concrete method for computing Groebner bases. Prom studies on such cases, we derive a simple formulation and basic notions which will be helpful to deal with more complicated cases.