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Toric geometry

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2015-2016
Period: 
From Feb 3
Duration: 
40 h
Description: 

Topics:

  1. Toric varieties: fans, the orbit-cone correspondence, completeness, resolution of singularities.
  2. Divisors, line bundles and polytopes. Base-point free, nef and ample line bundles. Mori cone, class group, Picard group. Description in terms of polytopes.
  3. 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.
Location: 
A-136

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