Key Tools
A number of tools, ranging from the elementary to the more advanced, include:
- Dimension counting
- Bézout's theorem
- Schubert calculus, and more generally characteristic classes in cohomology
- The connection of counting intersections with cohomology is Poincaré duality
- The study of moduli spaces of curves, maps and other geometric objects, sometimes via the theory of quantum cohomology.
Enumerative geometry is very closely tied to intersection theory.
Read more about this topic: Enumerative Geometry
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