Algebraic Curves

Department: 
MATH
Course Number: 
8803-SIN
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
no regular schedule

Special topics course on Algebraic Curves, offered in Fall 2016 by Rainer Sinn.

Prerequisites: 

MATH 6121

Course Text: 

Algebraic Curves - An Introduction to Algebraic Geometry, by William Fulton

Topic Outline: 

The aim is to cover the following topics:
        Multiplicities and Intersection Numbers (for plane curves)
        Bézout’s Theorem and Max Noether’s Fundamental Theorem 
        Normalization of Plane Curves and Blow Ups
        Riemann-Roch Theorem
        Dual Curves and Plücker’s Formulae