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

1994/06/16 by Martin Schlichenmaier, Schlichenmaier, Martin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG

paper · pdf · doi:10.48550/arxiv.hep-th/9406107

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

arxiv created 1994/06/16 · openalex publication_date 1994/06/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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