Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis
Justyna Szpond
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005), p. 137-145 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280673 
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Justyna Szpond. Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 137-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-3/