MENU

You are here

Intersection Theory

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2013-2014
Period: 
Spring
Duration: 
20 h
Description: 
  • Algebraic cycles, flat pullback, proper pushforward.
  • Rational and algebraic equivalence. Chow groups.
  • Degree of a zero cycle. Numerical equivalence.
  • Vector bundles, cell decompositions.
  • Pseudodivisors, first Chern class of a line bundle.
  • Chern and Segre classes.
  • Cones, abelian cones, normal cones.
  • Degeneration to the normal cone.
  • Gysin pullback.
  • Properties of the Gysin pullback.
  • Statement of Grothendieck-Riemann-Roch and applications. If time allows,sketch of proof.

Reference: W. Fulton, Intersection Theory, Chapters 1-6 and Appendices.

Location: 
A-136

Sign in