Intersection theory
Branch of algebraic geometry / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Self-intersection?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
Not to be confused with Intersection (set theory) or Intersectionality.
In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety.[1] The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory more quickly reached a definitive form.
This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. (June 2020) |
There is yet an ongoing development of intersection theory. Currently the main focus is on: virtual fundamental cycles, quantum intersection rings, Gromov–Witten theory and the extension of intersection theory from schemes to stacks.[2]