Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism
High Energy Physics - Theory
2008-02-03 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.hep-th/9406107,
title = {Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism},
author = {Martin Schlichenmaier},
journal= {arXiv preprint arXiv:hep-th/9406107},
year = {2008}
}
Comments
36 pages. This is a write-up of lectures given at the ``Kleine Herbstschule 93'' of the Graduiertenkolleg ``Mathematik im Bereich Ihrer Wechselwirkungen mit der Physik'' at the Ludwig-Maximilians-Universitaet Muenchen