Algebraic Geometry

13.

Advanced Topics

13.1.

Intersection Theory

13.1.1.

Intersection Multiplicities

13.1.2.

13.1.3.

Intersection Products

13.2.

Deformation Theory

13.2.1.

Infinitesimal Deformations

13.2.2.

Formal Deformation Theory

13.2.3.

Obstruction Theory

13.2.4.

Applications to Moduli

13.3.

Étale Cohomology

13.3.1.

Motivation from Topology

13.3.2.

Étale Morphisms

13.3.3.

13.3.4.

Cohomology Groups

13.4.

Arithmetic Algebraic Geometry

13.4.1.

Varieties over Finite Fields

13.4.2.

13.4.3.

Rational Points

13.4.4.

Diophantine Applications

Previous

12. Algebraic Surfaces

Go to top

Back to Start

1. Foundations of Algebraic Geometry