On systems of algebraic equations with parametric exponents

Kazuhiro Yokoyama
2004 Proceedings of the 2004 international symposium on Symbolic and algebraic computation - ISSAC '04  
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 0dimensional case, and give a concrete method for computing Gröbner bases. From studies on such cases, we derive a simple formulation and basic notions which will be helpful to deal with more complicated cases. The problems dealt with here are originally raised by Tadashi Takahashi in order to give a computational proof of
more » ... egeneracy conditions of singularities of algebraic surfaces [9] . We show one typical type of his problem.
doi:10.1145/1005285.1005330 dblp:conf/issac/Yokoyama04 fatcat:26k35mld7ndcpp7gydvvdxxogi