Computer Algebra and Algebraic. Geometry—Achievements and Perspectives

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2000Embargo end date: 01 Jan 2000 English Publisher:Elsevier BVJournal:Journal of Symbolic Computation, volume 30, pages 253-289 (issn: 0747-7171,

Copyright policy )Funded by:FCT | D4

Authors: Gert-Martin Greuel;

doi: 10.1006/jsco.2000.0362 , 10.48550/arxiv.math/0002247

arXiv: math/0002247

Computer Algebra and Algebraic. Geometry—Achievements and Perspectives

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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.

33 pages, 36 figures, to appear in: Journal of Symbolic Computation, 2000

Related Organizations

Schrödinger
United States
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau

Keywords

13P10, 14Q99, 14B05, Algebra and Number Theory, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Computational Mathematics, Mathematics - Algebraic Geometry, FOS: Mathematics, Gröbner bases, Algebraic Geometry (math.AG), computational algebraic geometry

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