1. Overview
  2. Notes
  3. 1. Quasi-coherent sheaves on projective varieties
  4. 2. Exceptional collections and Čech cohomology
  5. 3. Computing sheaf cohomology on projective space
  6. 4. Compact generation and Grothendieck duality
  7. 5. The projection formula and standard adjunctions
  8. 6. Base change and integral transforms
  9. 7. Identities, projections, and convolutions
  10. 8. Kernels for common autoequivalences
  11. 9. Moving towards resolutions of the diagonal
  12. 10. The sheaf of Kähler differentials
  13. 11. Beilinson's resolution of the diagonal on projective space
  14. 12. Blow ups
  15. 13. Components for a SOD of a blow up
  16. 14. Completing the proof of the SOD of a blow up
  17. Syllabus

Derived Categories II

Completing the proof of the SOD of a blow up