Intersection theory is a branch of algebraic geometry that studies the intersection of subvarieties within algebraic varieties. It provides a framework for counting the number of points at which varieties intersect, understanding their geometric properties, and understanding how these intersections behave under various operations. Here are the main concepts involved in intersection theory: 1. **Subvarieties**: In algebraic geometry, a variety can be thought of as a solution set to a system of polynomial equations.

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