Computational Algebraic Geometry D

Aalto University

You will learn the definitions of an affine variety and an ideal together with examples, basic properties and the correspondence between ideals on the algebra side and affine varieties on the geometry side. You will familiarize yourself with the method of Groebner basis which allows to study ideals computationally. You will learn how to eliminate variables from systems of polynomial equations, and how this is applied to solving systems of polynomial equations and describing images of polynomial maps. You will see an application of the theory.

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