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