Elementary Algebraic Geometry

  • Marc Levine
Part of the Universitext book series (UTX)


In this first part, we give a quick overview of some of the foundational material of elementary algebraic geometry needed for a study of motivic homotopy theory. All of this material is well-known and excellently discussed in numerous texts; our goal is to collect the main facts to give the reader a convenient first introduction and quick reference. For this reason, many of the proofs will be only sketched or completely omitted. For further details, we suggest the reader take a look at [4], [10], [14] for the commutative algebra and [7], [9] or [12] for the algebraic geometry; for a more analytic point of view, we suggest [5].


Prime Ideal Commutative Ring Noetherian Ring Ring Homomorphism Smooth Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer 2007

Authors and Affiliations

  • Marc Levine
    • 1
  1. 1.Department of MathematicsNortheastern UniversityBostonUSA

Personalised recommendations