On Computing the Elimination Ideal Using Resultants with Applications to Gr\'obner Bases

Autor:	Gallet, Matteo, Rahkooy, Hamid, Zafeirakopoulos, Zafeirakis
Rok vydání:	2013
Předmět:	Mathematics - Commutative Algebra Computer Science - Symbolic Computation
Druh dokumentu:	Working Paper
Popis:	Resultants and Gr\"obner bases are crucial tools in studying polynomial elimination theory. We investigate relations between the variety of the resultant of two polynomials and the variety of the ideal they generate. Then we focus on the bivariate case, in which the elimination ideal is principal. We study - by means of elementary tools - the difference between the multiplicity of the factors of the generator of the elimination ideal and the multiplicity of the factors of the resultant. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.5330 Zobrazit plný text záznamu View this record from Arxiv