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Section 3 Textbook

Subsection 3.1 Required Textbook

  1. Brendan Hassett, Introduction to Algebraic Geometry. Cambridge University Press, 2007.

    ebook:
    978-0-511-28529-5
    hardback:
    978-0-521-87094-8
    paperback:
    978-0-521-69141-3

We will cover material from the chapters of the textbook listed above the dividing line in the following table; additional material from chapters listed after the dividing line may be covered if time permits:

Table 3.1.
Chapter Title
1 Guiding Problems
2 Division Algorithm and Gröbner Bases
3 Affine Varieties
4 Elimination
6 Irreducible Varieties
7 Nullstellensatz
5 Resultants
8 Primary Decomposition
9 Projective Geometry

Subsection 3.2 Recommended Optional Textbooks

  1. Mateusz Michałek and Bernd Sturmfels, Invitation to Nonlinear Algebra 1  (pdf).
  2. Cox, Little, O'Shea, Ideals, Varieties, and Algorithms