Algebraic Geometry

  1. Advanced Topics
    1. Intersection Theory
      1. Intersection Multiplicities
        1. Chow Rings
          1. Intersection Products
          2. Deformation Theory
            1. Infinitesimal Deformations
              1. Formal Deformation Theory
                1. Obstruction Theory
                  1. Applications to Moduli
                  2. Étale Cohomology
                    1. Motivation from Topology
                      1. Étale Morphisms
                        1. Étale Site
                          1. Cohomology Groups
                          2. Arithmetic Algebraic Geometry
                            1. Varieties over Finite Fields
                              1. Zeta Functions
                                1. Rational Points
                                  1. Diophantine Applications

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                                12. Algebraic Surfaces

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                                1. Foundations of Algebraic Geometry