Algebraic Geometry II

Prof. Dr. Yingkun Li, Prof. Dr. Timo Richarz, M.Sc. Anton Güthge

Time and Place

Mondays, Fridays, 11:40-13:20 via Zoom (t.b.a.)
Starting: Monday, 18.10.2021


Tuesdays, 9:50-11:30 via Zoom (t.b.a.)
Starting: 26.10.2021


This course is the continuation of Algebraic Geometry I. We discuss properties of morphisms of schemes (affine, finite, projective, proper, flat, smooth, étale),  derived categories and cohomology of quasi-coherent sheaves, and some applications if time permits.  Prerequisites are the language of schemes and quasi-coherent sheaves as covered last term.


  • R. Hartshorne: Algebraic Geometry, Springer GTM 52.
  • R. Vakil: Foundations of algebraic geometry. Skript
  • J. de Jong et. al.: The Stacks Project
  • U. Goertz, T. Wedhorn: Algebraic Geometry I, Vieweg.
  • Q. Liu: Algebraic Geometry and Arithmetic Curves, Oxford GTM.
  • A. Grothendieck, J. Dieudonné: Éléments de géométrie algébrique.


This is an oral exam. For further information contact one of the lecturers.