Complex Manifolds 2025

• Prerequisites: analytic functions and basics about de Rham cohomology
• Lecture outline
• Summary of GAGA, see also the notes of P. Achinger
• Problem sheets:
  • 10 October
  • 17 October
  • 24 October
  • 31 October → 7 November
  • 21 November → 28 November
  • 5 December
  • 12 December

Bibliography

• D. Huybrechts: Complex geometry. An introduction (Universitext) - the main texbook for this course
• P. Griffiths, J. Harris: Principles of algebraic geometry (initial chapters)
• Donu Arapura: Algebraic Geometry over the Complex Numbers (Universitext)
• C. Voisin: Hodge Theory and Complex Algebraic (Cambridge Studies in Advanced Mathematics)
• Mark A. de Cataldo: Lectures on the Hodge theory of projective manifolds (Summary of the Hodge theory, there is also a book edition)