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TitleComputation of unirational fields
Author(s) Jaime Gutierrez, David Sevilla
TypeArticle in Journal
AbstractOne of the main contributions which Volker Weispfenning made to mathematics is related to Gröbner bases theory. In this paper we present an algorithm for computing all algebraic intermediate subfields in a separably generated unirational field extension (which in particular includes the zero characteristic case). One of the main tools is Gröbner bases theory. Our algorithm also requires computing primitive elements and factoring over algebraic extensions. Moreover, the method can be extended to finitely generated K -algebras.
KeywordsUnirational fields, Gröbner basis, Polynomial and rational function decomposition, Computational Galois theory, Lüroth’s theorem
URL http://www.sciencedirect.com/science/article/pii/S0747717106000587
JournalJournal of Symbolic Computation
Pages1222 - 1244
NoteSpecial Issue on the Occasion of Volker Weispfenning’s 60th Birthday Special Issue on the Occasion of Volker Weispfenning’s 60th Birthday
Translation No
Refereed No