Jack William Huizenga, Thesis Supervisor Ludmil Tomov Zikatanov, Thesis Honors Advisor
Keywords:
Algebraic Geometry Intersection Theory Enumerative Geometry
Abstract:
This thesis is intended to give an introduction to intersection theory in algebraic geometry. It is split into three chapters concerning the Chow ring, Schubert Calculus, and Chern classes respectively. It is intended to give the reader a toolkit with which to attack various enumerative problems arising from algebraic geometry. These problems include counting the points in an intersection of two varieties or counting the number of lines contained in a variety, and are central to many facets of modern algebraic geometry.