2006arXiv (Cornell University)Open access

Computational algebra and algebraic curves

Shaska, Tanush

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Abstract

The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry. In this survey, we briefly describe some open problems related to algebraic curves which can be approached from a computational viewpoint.

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The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry. In this survey, we briefly describe some open problems related to algebraic curves which can be approached from a computational viewpoint.

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Available abstract

The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry. In this survey, we briefly describe some open problems related to algebraic curves which can be approached from a computational viewpoint.

Key concepts: Algebra over a field, Function field of an algebraic variety, Dimension of an algebraic variety, Real algebraic geometry, Algebraic number, Differential algebraic geometry, Algebraic surface, Mathematics

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