Intersection Numbers: Properties and Computation

This lecture covers the concept of intersection numbers of plane curves, defining the intersection number of two curves at a point and explaining transversal intersections. The instructor demonstrates the computation of intersection numbers in various scenarios, emphasizing cases where curves have no common components. The lecture also explores the properties of intersection numbers, such as the relationship with tangent lines and the impact of common components on the computation. Through detailed examples and explanations, students will gain a solid understanding of how to calculate intersection numbers and interpret their properties.