## Date of Graduation

Summer 2008

## Degree

Master of Science in Mathematics

## Department

Mathematics

## Committee Chair

Richard Belshoff

## Abstract

In this paper, we introduce and give proofs of some basic concepts of algebraic geometry leading up to a proof of Max Noether's Fundamental Theorem. This theorem states that under certain conditions, a curve H passing through the common intersections of two other curves F and G will be equal to a combination AF + BG of the two. For this reason, it is sometimes referred to as "the AF + BG theorem." Examples using Noether's Theorem are given, including several from Fulton's Algebraic Curves.

## Keywords

Algebra, algebraic curve, algebraic geometry, Noether's theorem, polynomial

## Subject Categories

Mathematics

## Copyright

© Jacob Aaron Boswell

## Recommended Citation

Boswell, Jacob Aaron, "Max Noether's Fundamental Theorem" (2008). *MSU Graduate Theses*. 1628.

https://bearworks.missouristate.edu/theses/1628

**Campus Only**