Lecturer:
Course Type:
PhD Course
Academic Year:
2015-2016
Period:
From Feb 3
Duration:
40 h
Description:
Topics:
- Toric varieties: fans, the orbit-cone correspondence, completeness, resolution of singularities.
- Divisors, line bundles and polytopes. Base-point free, nef and ample line bundles. Mori cone, class group, Picard group. Description in terms of polytopes.
- Cohomology of coherent sheaves on toric varieties. Reflexive sheaves, differential forms, toric Serre duality, cohomology of toric divisors.
Note: 20h from February 3 to March 4 + 12h from April 4 to 14 + 8h in June
Prerequisites:
A basic working knowledge of algebraic geometry (varieties, morphisms, divisors) and sheaf cohomology, but some of these topics may be also covered during the course if needed.
Research Group:
Location:
A-136