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Algebraic Geometry

Toric geometry

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

Algebraic Geometry

Tuesday 11:00-13:00 and Wednesday 14:00-16:00

Content:

Varietà algebriche proiettive e quasi proiettive. Fasci. Coomologia dei fasci. Spazi anellati e schemi. Fasci e divisori. Fibrati. Differenziali e divisore canonico. Geometria delle curve proiettive e teorema di Riemann-Roch.

Webpage: http://www.matematica.units.it/node/1945

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