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2. William Fulton (mathematician) - Wikipedia

   en.wikipedia.org/wiki/William_Fulton_(mathematician)

   In 1996 he received the Steele Prize for mathematical exposition for his text Intersection Theory. [1] Fulton is a member of the United States National Academy of Sciences since 1997; a fellow of the American Academy of Arts and Sciences from 1998, and was elected a foreign member of the Royal Swedish Academy of Sciences in 2000. [3]

3. Intersection theory - Wikipedia

   en.wikipedia.org/wiki/Intersection_theory

   One says that “the affine plane does not have a good intersection theory”, and intersection theory on non-projective varieties is much more difficult. A line on a P 1 × P 1 (which can also be interpreted as the non-singular quadric Q in P 3) has self-intersection 0, since a line can be moved off itself. (It is a ruled surface.)

4. Fulton–Hansen connectedness theorem - Wikipedia

   en.wikipedia.org/wiki/Fulton–Hansen...

   In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1. It is named after William Fulton and Johan Hansen, who proved it in 1979.

5. Scheme-theoretic intersection - Wikipedia

   en.wikipedia.org/wiki/Scheme-theoretic_intersection

   In algebraic geometry, the scheme-theoretic intersection of closed subschemes X, Y of a scheme W is , the fiber product of the closed immersions,. It is denoted by X ∩ Y {\displaystyle X\cap Y} . Locally, W is given as Spec ⁡ R {\displaystyle \operatorname {Spec} R} for some ring R and X , Y as Spec ⁡ ( R / I ) , Spec ⁡ ( R / J ...

6. Kleiman's theorem - Wikipedia

   en.wikipedia.org/wiki/Kleiman's_theorem

   Download QR code; Print/export Download as PDF; Printable version; ... Fulton, William (1998), Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3.

7. Enumerative geometry - Wikipedia

   en.wikipedia.org/wiki/Enumerative_geometry

   The study of moduli spaces of curves, maps and other geometric objects, sometimes via the theory of quantum cohomology. The study of quantum cohomology, Gromov–Witten invariants and mirror symmetry gave a significant progress in Clemens conjecture. Enumerative geometry is very closely tied to intersection theory. [1]