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

Exercises

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

Contents

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.

Literature

  • 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.

Exam

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