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Computer Algebra and Algebraic Geometry - Achievements and Perspectives

2000/02/29 by Gert-Martin Greuel
Mathematics · #math.AG #math.AC #msc:13P10 #msc:14Q99 #msc:14B05

paper · pdf

published as Centre for Computer Algebra, University of Kaiserslautern, Reports On Computer Algebra, No. 29 (2000) · 33 pages, 36 figures, to appear in: Journal of Symbolic Computation, 2000

arxiv created 2000/02/29 · arxiv updated 2009/11/30

Abstract

In this survey I should like to introduce some concepts of algebraic geometry and try to demonstrate the fruitful interaction between algebraic geometry and computer algebra and, more generally, between mathematics and computer science. One of the aims of this article is to show, by means of examples, the usefulness of computer algebra to mathematical research.

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