# Category:Algebraic Geometry

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This category contains results about **Algebraic Geometry**.

Definitions specific to this category can be found in **Definitions/Algebraic Geometry**.

**Algebraic geometry** is the branch of geometry which studies objects in multi-dimensional space using the techniques of abstract algebra.

In particular, techniques from commutative algebra are mainly used.

It also encompasses the study of **algebraic varieties**.

## Subcategories

This category has the following 15 subcategories, out of 15 total.

### A

- Arithmetic Geometry (empty)

### B

- Brill-Noether Theory (empty)

### C

### F

- Faltings' Theorem (4 P)

### G

- Geometric Invariant Theory (empty)

### I

### K

- K-Theory (empty)

### N

### R

- Riemann-Roch Theorem (2 P)

### S

- Sheaf Cohomologies (1 P)
- Stacks (empty)

### Z

- Zariski Topology (1 P)

## Pages in category "Algebraic Geometry"

The following 22 pages are in this category, out of 22 total.