The fundamental geometry behind algebraic curves and projective space
Step into a third-year Oxford Mathematics lecture to explore the foundations of projective geometry. This session introduces the essential structures that allow mathematicians to study curves through a more complete geometric lens.
This lecture, part of Dominic Joyce's course on Algebraic Curves, provides an introduction to projective geometry. It examines the relationship between projective and affine spaces, alongside the use of homogeneous and inhomogeneous coordinates.
Beyond definitions, the session presents a simple proof within the framework of projective geometry, demonstrating how these coordinate systems function in practice.
Source: Algebraic Curves, Lecture 1: Introduction to projective geometry. 3rd Year Student Lecture
