Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 137-145
MSC: 13P10, 32C07.
DOI: 10.4064/ba53-2-3
Abstract
We deal with a reduction of power series convergent in a polydisc with respect to a Gröbner basis of a polynomial ideal. The results are applied to proving that a Nash function whose graph is algebraic in a “large enough” polydisc, must be a polynomial. Moreover, we give an effective method for finding this polydisc.
