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.
Research Group:
Location:
A-136