Date of Graduation
Master of Science in Mathematics
Algebra, algebraic curve, algebraic geometry, Noether's theorem, polynomial
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.
© Jacob Aaron Boswell
Boswell, Jacob Aaron, "Max Noether's Fundamental Theorem" (2008). MSU Graduate Theses. 1628.