Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism

Physics – High Energy Physics – High Energy Physics - Theory

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36 pages. This is a write-up of lectures given at the ``Kleine Herbstschule 93'' of the Graduiertenkolleg ``Mathematik im Bere

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Starting from classical algebraic geometry over the complex numbers (as it can be found for example in Griffiths and Harris it was the goal of these lectures to introduce some concepts of the modern point of view in algebraic geometry. Of course, it was quite impossible even to give an introduction to the whole subject in such a limited time. For this reason the lectures and now the write-up concentrate on the substitution of the concept of classical points by the notion of ideals and homomorphisms of algebras.

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