Computer Algebra and Algebraic Geometry - Achievements and Perspectives

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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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